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Finding the Fourth Proportional to 7,486, 11,230.92 and 5,380.08

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Solution

The fourth proportional to 7,486, 11,230.92 and 5,380.08 is: 8,071.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,486 : 11,230.92 = 5,380.08 : x
  2. Step 2: Convert to fraction form
    7,486/11,230.92 = 5,380.08/x
  3. Step 3: Cross multiply
    7,486x = 11,230.92 × 5,380.08
  4. Step 4: Simplify right side
    7,486x = 60,423,248.07
  5. Step 5: Solve for x
    x = 60,423,248.07/7,486
  6. Step 6: Final answer
    x = 8,071.50

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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.