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Finding the Fourth Proportional to 18,750, 25,875.42 and 10,252.68

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Solution

The fourth proportional to 18,750, 25,875.42 and 10,252.68 is: 14,148.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,750 : 25,875.42 = 10,252.68 : x
  2. Step 2: Convert to fraction form
    18,750/25,875.42 = 10,252.68/x
  3. Step 3: Cross multiply
    18,750x = 25,875.42 × 10,252.68
  4. Step 4: Simplify right side
    18,750x = 265,292,401.13
  5. Step 5: Solve for x
    x = 265,292,401.13/18,750
  6. Step 6: Final answer
    x = 14,148.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.