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Finding the Fourth Proportional to 25,686, 35,449.56 and 14,508.72

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Solution

The fourth proportional to 25,686, 35,449.56 and 14,508.72 is: 20,023.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,686 : 35,449.56 = 14,508.72 : x
  2. Step 2: Convert to fraction form
    25,686/35,449.56 = 14,508.72/x
  3. Step 3: Cross multiply
    25,686x = 35,449.56 × 14,508.72
  4. Step 4: Simplify right side
    25,686x = 514,327,740.16
  5. Step 5: Solve for x
    x = 514,327,740.16/25,686
  6. Step 6: Final answer
    x = 20,023.66

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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.