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Finding the Fourth Proportional to 45,400, 62,652 and 25,528

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Solution

The fourth proportional to 45,400, 62,652 and 25,528 is: 35,228.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,400 : 62,652 = 25,528 : x
  2. Step 2: Convert to fraction form
    45,400/62,652 = 25,528/x
  3. Step 3: Cross multiply
    45,400x = 62,652 × 25,528
  4. Step 4: Simplify right side
    45,400x = 1,599,380,256
  5. Step 5: Solve for x
    x = 1,599,380,256/45,400
  6. Step 6: Final answer
    x = 35,228.64

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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.