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Finding the Fourth Proportional to 31,897.56, 47,856.60 and 9,715.22

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Solution

The fourth proportional to 31,897.56, 47,856.60 and 9,715.22 is: 14,575.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,897.56 : 47,856.60 = 9,715.22 : x
  2. Step 2: Convert to fraction form
    31,897.56/47,856.60 = 9,715.22/x
  3. Step 3: Cross multiply
    31,897.56x = 47,856.60 × 9,715.22
  4. Step 4: Simplify right side
    31,897.56x = 464,937,397.45
  5. Step 5: Solve for x
    x = 464,937,397.45/31,897.56
  6. Step 6: Final answer
    x = 14,575.95

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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.