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Finding the Fourth Proportional to 12,744, 19,117.62 and 3,510

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Solution

The fourth proportional to 12,744, 19,117.62 and 3,510 is: 5,265.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,744 : 19,117.62 = 3,510 : x
  2. Step 2: Convert to fraction form
    12,744/19,117.62 = 3,510/x
  3. Step 3: Cross multiply
    12,744x = 19,117.62 × 3,510
  4. Step 4: Simplify right side
    12,744x = 67,102,846.20
  5. Step 5: Solve for x
    x = 67,102,846.20/12,744
  6. Step 6: Final answer
    x = 5,265.45

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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.