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Finding the Fourth Proportional to 31,988.48, 47,980.99 and 9,801.92

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Solution

The fourth proportional to 31,988.48, 47,980.99 and 9,801.92 is: 14,702.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,988.48 : 47,980.99 = 9,801.92 : x
  2. Step 2: Convert to fraction form
    31,988.48/47,980.99 = 9,801.92/x
  3. Step 3: Cross multiply
    31,988.48x = 47,980.99 × 9,801.92
  4. Step 4: Simplify right side
    31,988.48x = 470,305,920.95
  5. Step 5: Solve for x
    x = 470,305,920.95/31,988.48
  6. Step 6: Final answer
    x = 14,702.35

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1.5x scale

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.