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Finding the Fourth Proportional to 16,543.80, 22,830.57 and 8,990.12

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Solution

The fourth proportional to 16,543.80, 22,830.57 and 8,990.12 is: 12,406.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,543.80 : 22,830.57 = 8,990.12 : x
  2. Step 2: Convert to fraction form
    16,543.80/22,830.57 = 8,990.12/x
  3. Step 3: Cross multiply
    16,543.80x = 22,830.57 × 8,990.12
  4. Step 4: Simplify right side
    16,543.80x = 205,249,621.04
  5. Step 5: Solve for x
    x = 205,249,621.04/16,543.80
  6. Step 6: Final answer
    x = 12,406.44

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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.