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Finding the Fourth Proportional to 5,642.24, 7,786.34 and 3,158.24

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Solution

The fourth proportional to 5,642.24, 7,786.34 and 3,158.24 is: 4,358.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.24 : 7,786.34 = 3,158.24 : x
  2. Step 2: Convert to fraction form
    5,642.24/7,786.34 = 3,158.24/x
  3. Step 3: Cross multiply
    5,642.24x = 7,786.34 × 3,158.24
  4. Step 4: Simplify right side
    5,642.24x = 24,591,130.44
  5. Step 5: Solve for x
    x = 24,591,130.44/5,642.24
  6. Step 6: Final answer
    x = 4,358.40

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Half scale
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Double scale
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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.