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Finding the Fourth Proportional to 10,642.96, 15,963.80 and 3,722.32

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Solution

The fourth proportional to 10,642.96, 15,963.80 and 3,722.32 is: 5,583.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642.96 : 15,963.80 = 3,722.32 : x
  2. Step 2: Convert to fraction form
    10,642.96/15,963.80 = 3,722.32/x
  3. Step 3: Cross multiply
    10,642.96x = 15,963.80 × 3,722.32
  4. Step 4: Simplify right side
    10,642.96x = 59,422,372.02
  5. Step 5: Solve for x
    x = 59,422,372.02/10,642.96
  6. Step 6: Final answer
    x = 5,583.26

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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.