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Finding the Fourth Proportional to 11,568.78, 15,964.95 and 6,263.61

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Solution

The fourth proportional to 11,568.78, 15,964.95 and 6,263.61 is: 8,643.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,568.78 : 15,964.95 = 6,263.61 : x
  2. Step 2: Convert to fraction form
    11,568.78/15,964.95 = 6,263.61/x
  3. Step 3: Cross multiply
    11,568.78x = 15,964.95 × 6,263.61
  4. Step 4: Simplify right side
    11,568.78x = 99,998,220.47
  5. Step 5: Solve for x
    x = 99,998,220.47/11,568.78
  6. Step 6: Final answer
    x = 8,643.80

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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.