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Finding the Fourth Proportional to 8,572.44, 12,856.86 and 2,415

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Solution

The fourth proportional to 8,572.44, 12,856.86 and 2,415 is: 3,621.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,572.44 : 12,856.86 = 2,415 : x
  2. Step 2: Convert to fraction form
    8,572.44/12,856.86 = 2,415/x
  3. Step 3: Cross multiply
    8,572.44x = 12,856.86 × 2,415
  4. Step 4: Simplify right side
    8,572.44x = 31,049,316.90
  5. Step 5: Solve for x
    x = 31,049,316.90/8,572.44
  6. Step 6: Final answer
    x = 3,621.99

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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.