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Finding the Fourth Proportional to 8,538.52, 12,809.52 and 4,842.40

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Solution

The fourth proportional to 8,538.52, 12,809.52 and 4,842.40 is: 7,264.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.52 : 12,809.52 = 4,842.40 : x
  2. Step 2: Convert to fraction form
    8,538.52/12,809.52 = 4,842.40/x
  3. Step 3: Cross multiply
    8,538.52x = 12,809.52 × 4,842.40
  4. Step 4: Simplify right side
    8,538.52x = 62,028,819.65
  5. Step 5: Solve for x
    x = 62,028,819.65/8,538.52
  6. Step 6: Final answer
    x = 7,264.59

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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.