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Finding the Fourth Proportional to 31,808.38, 47,712.57 and 9,920.38

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Solution

The fourth proportional to 31,808.38, 47,712.57 and 9,920.38 is: 14,880.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,808.38 : 47,712.57 = 9,920.38 : x
  2. Step 2: Convert to fraction form
    31,808.38/47,712.57 = 9,920.38/x
  3. Step 3: Cross multiply
    31,808.38x = 47,712.57 × 9,920.38
  4. Step 4: Simplify right side
    31,808.38x = 473,326,825.18
  5. Step 5: Solve for x
    x = 473,326,825.18/31,808.38
  6. Step 6: Final answer
    x = 14,880.57

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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.