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Finding the Fourth Proportional to 19,471.68, 29,186.46 and 7,772.04

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Solution

The fourth proportional to 19,471.68, 29,186.46 and 7,772.04 is: 11,649.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,471.68 : 29,186.46 = 7,772.04 : x
  2. Step 2: Convert to fraction form
    19,471.68/29,186.46 = 7,772.04/x
  3. Step 3: Cross multiply
    19,471.68x = 29,186.46 × 7,772.04
  4. Step 4: Simplify right side
    19,471.68x = 226,838,334.58
  5. Step 5: Solve for x
    x = 226,838,334.58/19,471.68
  6. Step 6: Final answer
    x = 11,649.65

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