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Finding the Fourth Proportional to 25,348, 34,980.24 and 15,412

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Solution

The fourth proportional to 25,348, 34,980.24 and 15,412 is: 21,268.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,348 : 34,980.24 = 15,412 : x
  2. Step 2: Convert to fraction form
    25,348/34,980.24 = 15,412/x
  3. Step 3: Cross multiply
    25,348x = 34,980.24 × 15,412
  4. Step 4: Simplify right side
    25,348x = 539,115,458.88
  5. Step 5: Solve for x
    x = 539,115,458.88/25,348
  6. Step 6: Final answer
    x = 21,268.56

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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.