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Finding the Fourth Proportional to 10,812.62, 16,218.91 and 4,571

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Solution

The fourth proportional to 10,812.62, 16,218.91 and 4,571 is: 6,856.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,812.62 : 16,218.91 = 4,571 : x
  2. Step 2: Convert to fraction form
    10,812.62/16,218.91 = 4,571/x
  3. Step 3: Cross multiply
    10,812.62x = 16,218.91 × 4,571
  4. Step 4: Simplify right side
    10,812.62x = 74,136,637.61
  5. Step 5: Solve for x
    x = 74,136,637.61/10,812.62
  6. Step 6: Final answer
    x = 6,856.49

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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.