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Finding the Fourth Proportional to 19,436, 29,149.16 and 8,341.44

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Solution

The fourth proportional to 19,436, 29,149.16 and 8,341.44 is: 12,510.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,436 : 29,149.16 = 8,341.44 : x
  2. Step 2: Convert to fraction form
    19,436/29,149.16 = 8,341.44/x
  3. Step 3: Cross multiply
    19,436x = 29,149.16 × 8,341.44
  4. Step 4: Simplify right side
    19,436x = 243,145,969.19
  5. Step 5: Solve for x
    x = 243,145,969.19/19,436
  6. Step 6: Final answer
    x = 12,510.08

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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.