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Finding the Fourth Proportional to 7,522, 11,275.50 and 3,624.28

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Solution

The fourth proportional to 7,522, 11,275.50 and 3,624.28 is: 5,432.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,522 : 11,275.50 = 3,624.28 : x
  2. Step 2: Convert to fraction form
    7,522/11,275.50 = 3,624.28/x
  3. Step 3: Cross multiply
    7,522x = 11,275.50 × 3,624.28
  4. Step 4: Simplify right side
    7,522x = 40,865,569.14
  5. Step 5: Solve for x
    x = 40,865,569.14/7,522
  6. Step 6: Final answer
    x = 5,432.81

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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.