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Finding the Fourth Proportional to 7,524, 10,379.86 and 4,538.18

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Solution

The fourth proportional to 7,524, 10,379.86 and 4,538.18 is: 6,260.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,524 : 10,379.86 = 4,538.18 : x
  2. Step 2: Convert to fraction form
    7,524/10,379.86 = 4,538.18/x
  3. Step 3: Cross multiply
    7,524x = 10,379.86 × 4,538.18
  4. Step 4: Simplify right side
    7,524x = 47,105,673.05
  5. Step 5: Solve for x
    x = 47,105,673.05/7,524
  6. Step 6: Final answer
    x = 6,260.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.