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Finding the Fourth Proportional to 11,518, 15,896.76 and 8,718.64

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Solution

The fourth proportional to 11,518, 15,896.76 and 8,718.64 is: 12,033.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,518 : 15,896.76 = 8,718.64 : x
  2. Step 2: Convert to fraction form
    11,518/15,896.76 = 8,718.64/x
  3. Step 3: Cross multiply
    11,518x = 15,896.76 × 8,718.64
  4. Step 4: Simplify right side
    11,518x = 138,598,127.61
  5. Step 5: Solve for x
    x = 138,598,127.61/11,518
  6. Step 6: Final answer
    x = 12,033.18

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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.