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Finding the Fourth Proportional to 25,857.88, 38,798.34 and 13,543

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Solution

The fourth proportional to 25,857.88, 38,798.34 and 13,543 is: 20,320.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,857.88 : 38,798.34 = 13,543 : x
  2. Step 2: Convert to fraction form
    25,857.88/38,798.34 = 13,543/x
  3. Step 3: Cross multiply
    25,857.88x = 38,798.34 × 13,543
  4. Step 4: Simplify right side
    25,857.88x = 525,445,918.62
  5. Step 5: Solve for x
    x = 525,445,918.62/25,857.88
  6. Step 6: Final answer
    x = 20,320.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.