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Finding the Fourth Proportional to 11,404.96, 15,738 and 6,436

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Solution

The fourth proportional to 11,404.96, 15,738 and 6,436 is: 8,881.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,404.96 : 15,738 = 6,436 : x
  2. Step 2: Convert to fraction form
    11,404.96/15,738 = 6,436/x
  3. Step 3: Cross multiply
    11,404.96x = 15,738 × 6,436
  4. Step 4: Simplify right side
    11,404.96x = 101,289,768
  5. Step 5: Solve for x
    x = 101,289,768/11,404.96
  6. Step 6: Final answer
    x = 8,881.20

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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.