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Finding the Fourth Proportional to 25,424, 35,085.12 and 15,488

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Solution

The fourth proportional to 25,424, 35,085.12 and 15,488 is: 21,373.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,424 : 35,085.12 = 15,488 : x
  2. Step 2: Convert to fraction form
    25,424/35,085.12 = 15,488/x
  3. Step 3: Cross multiply
    25,424x = 35,085.12 × 15,488
  4. Step 4: Simplify right side
    25,424x = 543,398,338.56
  5. Step 5: Solve for x
    x = 543,398,338.56/25,424
  6. Step 6: Final answer
    x = 21,373.44

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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.