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Finding the Fourth Proportional to 31,848.60, 47,772.90 and 9,660.90

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Solution

The fourth proportional to 31,848.60, 47,772.90 and 9,660.90 is: 14,491.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,848.60 : 47,772.90 = 9,660.90 : x
  2. Step 2: Convert to fraction form
    31,848.60/47,772.90 = 9,660.90/x
  3. Step 3: Cross multiply
    31,848.60x = 47,772.90 × 9,660.90
  4. Step 4: Simplify right side
    31,848.60x = 461,529,209.61
  5. Step 5: Solve for x
    x = 461,529,209.61/31,848.60
  6. Step 6: Final answer
    x = 14,491.35

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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.