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Finding the Fourth Proportional to 18,637.50, 25,720.29 and 10,254

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Solution

The fourth proportional to 18,637.50, 25,720.29 and 10,254 is: 14,150.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,637.50 : 25,720.29 = 10,254 : x
  2. Step 2: Convert to fraction form
    18,637.50/25,720.29 = 10,254/x
  3. Step 3: Cross multiply
    18,637.50x = 25,720.29 × 10,254
  4. Step 4: Simplify right side
    18,637.50x = 263,735,853.66
  5. Step 5: Solve for x
    x = 263,735,853.66/18,637.50
  6. Step 6: Final answer
    x = 14,150.82

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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.