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Finding the Fourth Proportional to 31,806.88, 47,710.32 and 9,918.88

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Solution

The fourth proportional to 31,806.88, 47,710.32 and 9,918.88 is: 14,878.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,806.88 : 47,710.32 = 9,918.88 : x
  2. Step 2: Convert to fraction form
    31,806.88/47,710.32 = 9,918.88/x
  3. Step 3: Cross multiply
    31,806.88x = 47,710.32 × 9,918.88
  4. Step 4: Simplify right side
    31,806.88x = 473,232,650.70
  5. Step 5: Solve for x
    x = 473,232,650.70/31,806.88
  6. Step 6: Final answer
    x = 14,878.31

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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.