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Finding the Fourth Proportional to 16,531.76, 22,814 and 8,978.16

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Solution

The fourth proportional to 16,531.76, 22,814 and 8,978.16 is: 12,389.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,531.76 : 22,814 = 8,978.16 : x
  2. Step 2: Convert to fraction form
    16,531.76/22,814 = 8,978.16/x
  3. Step 3: Cross multiply
    16,531.76x = 22,814 × 8,978.16
  4. Step 4: Simplify right side
    16,531.76x = 204,827,742.24
  5. Step 5: Solve for x
    x = 204,827,742.24/16,531.76
  6. Step 6: Final answer
    x = 12,389.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.