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Finding the Fourth Proportional to 11,186.95, 15,438 and 6,151.25

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Solution

The fourth proportional to 11,186.95, 15,438 and 6,151.25 is: 8,488.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,186.95 : 15,438 = 6,151.25 : x
  2. Step 2: Convert to fraction form
    11,186.95/15,438 = 6,151.25/x
  3. Step 3: Cross multiply
    11,186.95x = 15,438 × 6,151.25
  4. Step 4: Simplify right side
    11,186.95x = 94,963,036.10
  5. Step 5: Solve for x
    x = 94,963,036.10/11,186.95
  6. Step 6: Final answer
    x = 8,488.74

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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.