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Finding the Fourth Proportional to 8,872, 12,248.16 and 5,336

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Solution

The fourth proportional to 8,872, 12,248.16 and 5,336 is: 7,366.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,872 : 12,248.16 = 5,336 : x
  2. Step 2: Convert to fraction form
    8,872/12,248.16 = 5,336/x
  3. Step 3: Cross multiply
    8,872x = 12,248.16 × 5,336
  4. Step 4: Simplify right side
    8,872x = 65,356,181.76
  5. Step 5: Solve for x
    x = 65,356,181.76/8,872
  6. Step 6: Final answer
    x = 7,366.57

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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.