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Finding the Fourth Proportional to 28,267.40, 42,401.10 and 8,543.90

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Solution

The fourth proportional to 28,267.40, 42,401.10 and 8,543.90 is: 12,815.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,267.40 : 42,401.10 = 8,543.90 : x
  2. Step 2: Convert to fraction form
    28,267.40/42,401.10 = 8,543.90/x
  3. Step 3: Cross multiply
    28,267.40x = 42,401.10 × 8,543.90
  4. Step 4: Simplify right side
    28,267.40x = 362,270,758.29
  5. Step 5: Solve for x
    x = 362,270,758.29/28,267.40
  6. Step 6: Final answer
    x = 12,815.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.