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Finding the Fourth Proportional to 19,694.32, 29,516.52 and 19,486

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Solution

The fourth proportional to 19,694.32, 29,516.52 and 19,486 is: 29,204.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,694.32 : 29,516.52 = 19,486 : x
  2. Step 2: Convert to fraction form
    19,694.32/29,516.52 = 19,486/x
  3. Step 3: Cross multiply
    19,694.32x = 29,516.52 × 19,486
  4. Step 4: Simplify right side
    19,694.32x = 575,158,908.72
  5. Step 5: Solve for x
    x = 575,158,908.72/19,694.32
  6. Step 6: Final answer
    x = 29,204.30

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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.