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Finding the Fourth Proportional to 10,291.78, 15,437.06 and 6,343.79

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Solution

The fourth proportional to 10,291.78, 15,437.06 and 6,343.79 is: 9,515.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291.78 : 15,437.06 = 6,343.79 : x
  2. Step 2: Convert to fraction form
    10,291.78/15,437.06 = 6,343.79/x
  3. Step 3: Cross multiply
    10,291.78x = 15,437.06 × 6,343.79
  4. Step 4: Simplify right side
    10,291.78x = 97,929,435.14
  5. Step 5: Solve for x
    x = 97,929,435.14/10,291.78
  6. Step 6: Final answer
    x = 9,515.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.