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Finding the Fourth Proportional to 7,499, 11,248.50 and 2,304.88

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Solution

The fourth proportional to 7,499, 11,248.50 and 2,304.88 is: 3,457.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,499 : 11,248.50 = 2,304.88 : x
  2. Step 2: Convert to fraction form
    7,499/11,248.50 = 2,304.88/x
  3. Step 3: Cross multiply
    7,499x = 11,248.50 × 2,304.88
  4. Step 4: Simplify right side
    7,499x = 25,926,442.68
  5. Step 5: Solve for x
    x = 25,926,442.68/7,499
  6. Step 6: Final answer
    x = 3,457.32

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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.