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Finding the Fourth Proportional to 38,656.50, 57,992.04 and 17,880

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Solution

The fourth proportional to 38,656.50, 57,992.04 and 17,880 is: 26,823.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,656.50 : 57,992.04 = 17,880 : x
  2. Step 2: Convert to fraction form
    38,656.50/57,992.04 = 17,880/x
  3. Step 3: Cross multiply
    38,656.50x = 57,992.04 × 17,880
  4. Step 4: Simplify right side
    38,656.50x = 1,036,897,675.20
  5. Step 5: Solve for x
    x = 1,036,897,675.20/38,656.50
  6. Step 6: Final answer
    x = 26,823.37

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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.