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Finding the Fourth Proportional to 16,543.84, 22,830.38 and 8,990.10

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Solution

The fourth proportional to 16,543.84, 22,830.38 and 8,990.10 is: 12,406.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,543.84 : 22,830.38 = 8,990.10 : x
  2. Step 2: Convert to fraction form
    16,543.84/22,830.38 = 8,990.10/x
  3. Step 3: Cross multiply
    16,543.84x = 22,830.38 × 8,990.10
  4. Step 4: Simplify right side
    16,543.84x = 205,247,399.24
  5. Step 5: Solve for x
    x = 205,247,399.24/16,543.84
  6. Step 6: Final answer
    x = 12,406.27

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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.