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Finding the Fourth Proportional to 12,932.60, 19,361.10 and 9,660.20

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Solution

The fourth proportional to 12,932.60, 19,361.10 and 9,660.20 is: 14,462.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,932.60 : 19,361.10 = 9,660.20 : x
  2. Step 2: Convert to fraction form
    12,932.60/19,361.10 = 9,660.20/x
  3. Step 3: Cross multiply
    12,932.60x = 19,361.10 × 9,660.20
  4. Step 4: Simplify right side
    12,932.60x = 187,032,098.22
  5. Step 5: Solve for x
    x = 187,032,098.22/12,932.60
  6. Step 6: Final answer
    x = 14,462.06

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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.