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Finding the Fourth Proportional to 31,614.58, 47,421.87 and 8,240.95

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Solution

The fourth proportional to 31,614.58, 47,421.87 and 8,240.95 is: 12,361.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,614.58 : 47,421.87 = 8,240.95 : x
  2. Step 2: Convert to fraction form
    31,614.58/47,421.87 = 8,240.95/x
  3. Step 3: Cross multiply
    31,614.58x = 47,421.87 × 8,240.95
  4. Step 4: Simplify right side
    31,614.58x = 390,801,259.58
  5. Step 5: Solve for x
    x = 390,801,259.58/31,614.58
  6. Step 6: Final answer
    x = 12,361.43

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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.