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Finding the Fourth Proportional to 19,638.64, 29,449.32 and 7,318

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Solution

The fourth proportional to 19,638.64, 29,449.32 and 7,318 is: 10,973.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,638.64 : 29,449.32 = 7,318 : x
  2. Step 2: Convert to fraction form
    19,638.64/29,449.32 = 7,318/x
  3. Step 3: Cross multiply
    19,638.64x = 29,449.32 × 7,318
  4. Step 4: Simplify right side
    19,638.64x = 215,510,123.76
  5. Step 5: Solve for x
    x = 215,510,123.76/19,638.64
  6. Step 6: Final answer
    x = 10,973.78

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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.