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Finding the Fourth Proportional to 16,279.47, 22,465.80 and 8,827.47

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Solution

The fourth proportional to 16,279.47, 22,465.80 and 8,827.47 is: 12,181.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,279.47 : 22,465.80 = 8,827.47 : x
  2. Step 2: Convert to fraction form
    16,279.47/22,465.80 = 8,827.47/x
  3. Step 3: Cross multiply
    16,279.47x = 22,465.80 × 8,827.47
  4. Step 4: Simplify right side
    16,279.47x = 198,316,197.59
  5. Step 5: Solve for x
    x = 198,316,197.59/16,279.47
  6. Step 6: Final answer
    x = 12,181.98

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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.