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Finding the Fourth Proportional to 12,708, 19,061.73 and 5,686.38

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Solution

The fourth proportional to 12,708, 19,061.73 and 5,686.38 is: 8,529.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,708 : 19,061.73 = 5,686.38 : x
  2. Step 2: Convert to fraction form
    12,708/19,061.73 = 5,686.38/x
  3. Step 3: Cross multiply
    12,708x = 19,061.73 × 5,686.38
  4. Step 4: Simplify right side
    12,708x = 108,392,240.24
  5. Step 5: Solve for x
    x = 108,392,240.24/12,708
  6. Step 6: Final answer
    x = 8,529.45

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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.