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Finding the Fourth Proportional to 10,398.90, 15,608.42 and 9,837.02

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Solution

The fourth proportional to 10,398.90, 15,608.42 and 9,837.02 is: 14,765.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,398.90 : 15,608.42 = 9,837.02 : x
  2. Step 2: Convert to fraction form
    10,398.90/15,608.42 = 9,837.02/x
  3. Step 3: Cross multiply
    10,398.90x = 15,608.42 × 9,837.02
  4. Step 4: Simplify right side
    10,398.90x = 153,540,339.71
  5. Step 5: Solve for x
    x = 153,540,339.71/10,398.90
  6. Step 6: Final answer
    x = 14,765.06

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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.