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Finding the Fourth Proportional to 19,772.64, 29,641.68 and 7,452

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Solution

The fourth proportional to 19,772.64, 29,641.68 and 7,452 is: 11,171.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,772.64 : 29,641.68 = 7,452 : x
  2. Step 2: Convert to fraction form
    19,772.64/29,641.68 = 7,452/x
  3. Step 3: Cross multiply
    19,772.64x = 29,641.68 × 7,452
  4. Step 4: Simplify right side
    19,772.64x = 220,889,799.36
  5. Step 5: Solve for x
    x = 220,889,799.36/19,772.64
  6. Step 6: Final answer
    x = 11,171.49

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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.