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Finding the Fourth Proportional to 25,506.45, 35,181.42 and 15,417.39

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Solution

The fourth proportional to 25,506.45, 35,181.42 and 15,417.39 is: 21,265.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,506.45 : 35,181.42 = 15,417.39 : x
  2. Step 2: Convert to fraction form
    25,506.45/35,181.42 = 15,417.39/x
  3. Step 3: Cross multiply
    25,506.45x = 35,181.42 × 15,417.39
  4. Step 4: Simplify right side
    25,506.45x = 542,405,672.89
  5. Step 5: Solve for x
    x = 542,405,672.89/25,506.45
  6. Step 6: Final answer
    x = 21,265.43

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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.