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Finding the Fourth Proportional to 5,098.40, 7,642.08 and 2,178.08

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Solution

The fourth proportional to 5,098.40, 7,642.08 and 2,178.08 is: 3,264.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.40 : 7,642.08 = 2,178.08 : x
  2. Step 2: Convert to fraction form
    5,098.40/7,642.08 = 2,178.08/x
  3. Step 3: Cross multiply
    5,098.40x = 7,642.08 × 2,178.08
  4. Step 4: Simplify right side
    5,098.40x = 16,645,061.61
  5. Step 5: Solve for x
    x = 16,645,061.61/5,098.40
  6. Step 6: Final answer
    x = 3,264.76

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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.