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Finding the Fourth Proportional to 8,278, 11,423.66 and 4,552

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Solution

The fourth proportional to 8,278, 11,423.66 and 4,552 is: 6,281.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278 : 11,423.66 = 4,552 : x
  2. Step 2: Convert to fraction form
    8,278/11,423.66 = 4,552/x
  3. Step 3: Cross multiply
    8,278x = 11,423.66 × 4,552
  4. Step 4: Simplify right side
    8,278x = 52,000,500.32
  5. Step 5: Solve for x
    x = 52,000,500.32/8,278
  6. Step 6: Final answer
    x = 6,281.77

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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.