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Finding the Fourth Proportional to 31,817.10, 47,731.05 and 9,630.30

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Solution

The fourth proportional to 31,817.10, 47,731.05 and 9,630.30 is: 14,447.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,817.10 : 47,731.05 = 9,630.30 : x
  2. Step 2: Convert to fraction form
    31,817.10/47,731.05 = 9,630.30/x
  3. Step 3: Cross multiply
    31,817.10x = 47,731.05 × 9,630.30
  4. Step 4: Simplify right side
    31,817.10x = 459,664,330.82
  5. Step 5: Solve for x
    x = 459,664,330.82/31,817.10
  6. Step 6: Final answer
    x = 14,447.08

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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.