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Finding the Fourth Proportional to 8,387, 12,586.26 and 2,915

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Solution

The fourth proportional to 8,387, 12,586.26 and 2,915 is: 4,374.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,387 : 12,586.26 = 2,915 : x
  2. Step 2: Convert to fraction form
    8,387/12,586.26 = 2,915/x
  3. Step 3: Cross multiply
    8,387x = 12,586.26 × 2,915
  4. Step 4: Simplify right side
    8,387x = 36,688,947.90
  5. Step 5: Solve for x
    x = 36,688,947.90/8,387
  6. Step 6: Final answer
    x = 4,374.50

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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.