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Finding the Fourth Proportional to 8,285.52, 12,424.62 and 4,389

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Solution

The fourth proportional to 8,285.52, 12,424.62 and 4,389 is: 6,581.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,285.52 : 12,424.62 = 4,389 : x
  2. Step 2: Convert to fraction form
    8,285.52/12,424.62 = 4,389/x
  3. Step 3: Cross multiply
    8,285.52x = 12,424.62 × 4,389
  4. Step 4: Simplify right side
    8,285.52x = 54,531,657.18
  5. Step 5: Solve for x
    x = 54,531,657.18/8,285.52
  6. Step 6: Final answer
    x = 6,581.56

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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.