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Finding the Fourth Proportional to 31,808.88, 47,713.32 and 9,920.88

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Solution

The fourth proportional to 31,808.88, 47,713.32 and 9,920.88 is: 14,881.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,808.88 : 47,713.32 = 9,920.88 : x
  2. Step 2: Convert to fraction form
    31,808.88/47,713.32 = 9,920.88/x
  3. Step 3: Cross multiply
    31,808.88x = 47,713.32 × 9,920.88
  4. Step 4: Simplify right side
    31,808.88x = 473,358,122.12
  5. Step 5: Solve for x
    x = 473,358,122.12/31,808.88
  6. Step 6: Final answer
    x = 14,881.32

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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.