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Finding the Fourth Proportional to 31,907, 47,882.42 and 11,130.50

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Solution

The fourth proportional to 31,907, 47,882.42 and 11,130.50 is: 16,703.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,907 : 47,882.42 = 11,130.50 : x
  2. Step 2: Convert to fraction form
    31,907/47,882.42 = 11,130.50/x
  3. Step 3: Cross multiply
    31,907x = 47,882.42 × 11,130.50
  4. Step 4: Simplify right side
    31,907x = 532,955,220.16
  5. Step 5: Solve for x
    x = 532,955,220.16/31,907
  6. Step 6: Final answer
    x = 16,703.39

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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.