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Finding the Fourth Proportional to 13,125, 19,686.48 and 5,727.48

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Solution

The fourth proportional to 13,125, 19,686.48 and 5,727.48 is: 8,590.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,125 : 19,686.48 = 5,727.48 : x
  2. Step 2: Convert to fraction form
    13,125/19,686.48 = 5,727.48/x
  3. Step 3: Cross multiply
    13,125x = 19,686.48 × 5,727.48
  4. Step 4: Simplify right side
    13,125x = 112,753,920.47
  5. Step 5: Solve for x
    x = 112,753,920.47/13,125
  6. Step 6: Final answer
    x = 8,590.77

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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.