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Finding the Fourth Proportional to 5,642.64, 7,786.12 and 3,285.12

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Solution

The fourth proportional to 5,642.64, 7,786.12 and 3,285.12 is: 4,533.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.64 : 7,786.12 = 3,285.12 : x
  2. Step 2: Convert to fraction form
    5,642.64/7,786.12 = 3,285.12/x
  3. Step 3: Cross multiply
    5,642.64x = 7,786.12 × 3,285.12
  4. Step 4: Simplify right side
    5,642.64x = 25,578,338.53
  5. Step 5: Solve for x
    x = 25,578,338.53/5,642.64
  6. Step 6: Final answer
    x = 4,533.04

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.