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Finding the Fourth Proportional to 8,515.76, 11,749 and 5,534

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Solution

The fourth proportional to 8,515.76, 11,749 and 5,534 is: 7,635.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,515.76 : 11,749 = 5,534 : x
  2. Step 2: Convert to fraction form
    8,515.76/11,749 = 5,534/x
  3. Step 3: Cross multiply
    8,515.76x = 11,749 × 5,534
  4. Step 4: Simplify right side
    8,515.76x = 65,018,966
  5. Step 5: Solve for x
    x = 65,018,966/8,515.76
  6. Step 6: Final answer
    x = 7,635.13

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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.