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Finding the Fourth Proportional to 31,968.98, 47,951.49 and 9,780.62

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Solution

The fourth proportional to 31,968.98, 47,951.49 and 9,780.62 is: 14,670.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,968.98 : 47,951.49 = 9,780.62 : x
  2. Step 2: Convert to fraction form
    31,968.98/47,951.49 = 9,780.62/x
  3. Step 3: Cross multiply
    31,968.98x = 47,951.49 × 9,780.62
  4. Step 4: Simplify right side
    31,968.98x = 468,995,302.12
  5. Step 5: Solve for x
    x = 468,995,302.12/31,968.98
  6. Step 6: Final answer
    x = 14,670.32

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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.