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Finding the Fourth Proportional to 3,073.78, 4,242.13 and 1,815.24

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Solution

The fourth proportional to 3,073.78, 4,242.13 and 1,815.24 is: 2,505.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.78 : 4,242.13 = 1,815.24 : x
  2. Step 2: Convert to fraction form
    3,073.78/4,242.13 = 1,815.24/x
  3. Step 3: Cross multiply
    3,073.78x = 4,242.13 × 1,815.24
  4. Step 4: Simplify right side
    3,073.78x = 7,700,484.06
  5. Step 5: Solve for x
    x = 7,700,484.06/3,073.78
  6. Step 6: Final answer
    x = 2,505.22

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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.