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Finding the Fourth Proportional to 16,101.13, 22,219.77 and 8,931.21

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Solution

The fourth proportional to 16,101.13, 22,219.77 and 8,931.21 is: 12,325.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,101.13 : 22,219.77 = 8,931.21 : x
  2. Step 2: Convert to fraction form
    16,101.13/22,219.77 = 8,931.21/x
  3. Step 3: Cross multiply
    16,101.13x = 22,219.77 × 8,931.21
  4. Step 4: Simplify right side
    16,101.13x = 198,449,432.02
  5. Step 5: Solve for x
    x = 198,449,432.02/16,101.13
  6. Step 6: Final answer
    x = 12,325.19

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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.