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Finding the Fourth Proportional to 11,263, 15,543.42 and 6,295

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Solution

The fourth proportional to 11,263, 15,543.42 and 6,295 is: 8,687.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,263 : 15,543.42 = 6,295 : x
  2. Step 2: Convert to fraction form
    11,263/15,543.42 = 6,295/x
  3. Step 3: Cross multiply
    11,263x = 15,543.42 × 6,295
  4. Step 4: Simplify right side
    11,263x = 97,845,828.90
  5. Step 5: Solve for x
    x = 97,845,828.90/11,263
  6. Step 6: Final answer
    x = 8,687.37

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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.