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Finding the Fourth Proportional to 31,242.78, 46,871.10 and 9,057.06

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Solution

The fourth proportional to 31,242.78, 46,871.10 and 9,057.06 is: 13,587.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,242.78 : 46,871.10 = 9,057.06 : x
  2. Step 2: Convert to fraction form
    31,242.78/46,871.10 = 9,057.06/x
  3. Step 3: Cross multiply
    31,242.78x = 46,871.10 × 9,057.06
  4. Step 4: Simplify right side
    31,242.78x = 424,514,364.97
  5. Step 5: Solve for x
    x = 424,514,364.97/31,242.78
  6. Step 6: Final answer
    x = 13,587.60

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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.