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Finding the Fourth Proportional to 25,543.88, 38,302.86 and 11,681

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Solution

The fourth proportional to 25,543.88, 38,302.86 and 11,681 is: 17,515.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,543.88 : 38,302.86 = 11,681 : x
  2. Step 2: Convert to fraction form
    25,543.88/38,302.86 = 11,681/x
  3. Step 3: Cross multiply
    25,543.88x = 38,302.86 × 11,681
  4. Step 4: Simplify right side
    25,543.88x = 447,415,707.66
  5. Step 5: Solve for x
    x = 447,415,707.66/25,543.88
  6. Step 6: Final answer
    x = 17,515.57

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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.