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Finding the Fourth Proportional to 39,347, 59,032.06 and 11,645.72

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Solution

The fourth proportional to 39,347, 59,032.06 and 11,645.72 is: 17,472.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,347 : 59,032.06 = 11,645.72 : x
  2. Step 2: Convert to fraction form
    39,347/59,032.06 = 11,645.72/x
  3. Step 3: Cross multiply
    39,347x = 59,032.06 × 11,645.72
  4. Step 4: Simplify right side
    39,347x = 687,470,841.78
  5. Step 5: Solve for x
    x = 687,470,841.78/39,347
  6. Step 6: Final answer
    x = 17,472.00

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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.