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Finding the Fourth Proportional to 25,682, 35,444.94 and 15,077.48

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Solution

The fourth proportional to 25,682, 35,444.94 and 15,077.48 is: 20,809.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,682 : 35,444.94 = 15,077.48 : x
  2. Step 2: Convert to fraction form
    25,682/35,444.94 = 15,077.48/x
  3. Step 3: Cross multiply
    25,682x = 35,444.94 × 15,077.48
  4. Step 4: Simplify right side
    25,682x = 534,420,373.95
  5. Step 5: Solve for x
    x = 534,420,373.95/25,682
  6. Step 6: Final answer
    x = 20,809.14

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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.