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Finding the Fourth Proportional to 31,695.16, 47,539.02 and 8,323.42

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Solution

The fourth proportional to 31,695.16, 47,539.02 and 8,323.42 is: 12,484.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,695.16 : 47,539.02 = 8,323.42 : x
  2. Step 2: Convert to fraction form
    31,695.16/47,539.02 = 8,323.42/x
  3. Step 3: Cross multiply
    31,695.16x = 47,539.02 × 8,323.42
  4. Step 4: Simplify right side
    31,695.16x = 395,687,229.85
  5. Step 5: Solve for x
    x = 395,687,229.85/31,695.16
  6. Step 6: Final answer
    x = 12,484.15

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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.