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Finding the Fourth Proportional to 2,245.93, 3,366.77 and 784.13

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Solution

The fourth proportional to 2,245.93, 3,366.77 and 784.13 is: 1,175.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245.93 : 3,366.77 = 784.13 : x
  2. Step 2: Convert to fraction form
    2,245.93/3,366.77 = 784.13/x
  3. Step 3: Cross multiply
    2,245.93x = 3,366.77 × 784.13
  4. Step 4: Simplify right side
    2,245.93x = 2,639,983.54
  5. Step 5: Solve for x
    x = 2,639,983.54/2,245.93
  6. Step 6: Final answer
    x = 1,175.45

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.