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Finding the Fourth Proportional to 12,932.40, 19,400.40 and 5,139.40

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Solution

The fourth proportional to 12,932.40, 19,400.40 and 5,139.40 is: 7,709.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,932.40 : 19,400.40 = 5,139.40 : x
  2. Step 2: Convert to fraction form
    12,932.40/19,400.40 = 5,139.40/x
  3. Step 3: Cross multiply
    12,932.40x = 19,400.40 × 5,139.40
  4. Step 4: Simplify right side
    12,932.40x = 99,706,415.76
  5. Step 5: Solve for x
    x = 99,706,415.76/12,932.40
  6. Step 6: Final answer
    x = 7,709.82

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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.