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Finding the Fourth Proportional to 16,429.66, 22,672.91 and 8,977.66

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Solution

The fourth proportional to 16,429.66, 22,672.91 and 8,977.66 is: 12,389.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,429.66 : 22,672.91 = 8,977.66 : x
  2. Step 2: Convert to fraction form
    16,429.66/22,672.91 = 8,977.66/x
  3. Step 3: Cross multiply
    16,429.66x = 22,672.91 × 8,977.66
  4. Step 4: Simplify right side
    16,429.66x = 203,549,642.95
  5. Step 5: Solve for x
    x = 203,549,642.95/16,429.66
  6. Step 6: Final answer
    x = 12,389.16

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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.