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Finding the Fourth Proportional to 31,913.64, 47,872.32 and 9,727.80

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Solution

The fourth proportional to 31,913.64, 47,872.32 and 9,727.80 is: 14,592.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,913.64 : 47,872.32 = 9,727.80 : x
  2. Step 2: Convert to fraction form
    31,913.64/47,872.32 = 9,727.80/x
  3. Step 3: Cross multiply
    31,913.64x = 47,872.32 × 9,727.80
  4. Step 4: Simplify right side
    31,913.64x = 465,692,354.50
  5. Step 5: Solve for x
    x = 465,692,354.50/31,913.64
  6. Step 6: Final answer
    x = 14,592.27

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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.