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Finding the Fourth Proportional to 31,339.21, 47,008.04 and 7,646.92

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Solution

The fourth proportional to 31,339.21, 47,008.04 and 7,646.92 is: 11,470.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,339.21 : 47,008.04 = 7,646.92 : x
  2. Step 2: Convert to fraction form
    31,339.21/47,008.04 = 7,646.92/x
  3. Step 3: Cross multiply
    31,339.21x = 47,008.04 × 7,646.92
  4. Step 4: Simplify right side
    31,339.21x = 359,466,447.96
  5. Step 5: Solve for x
    x = 359,466,447.96/31,339.21
  6. Step 6: Final answer
    x = 11,470.18

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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.