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Finding the Fourth Proportional to 17,865.72, 26,803.02 and 5,385.46

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Solution

The fourth proportional to 17,865.72, 26,803.02 and 5,385.46 is: 8,079.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,865.72 : 26,803.02 = 5,385.46 : x
  2. Step 2: Convert to fraction form
    17,865.72/26,803.02 = 5,385.46/x
  3. Step 3: Cross multiply
    17,865.72x = 26,803.02 × 5,385.46
  4. Step 4: Simplify right side
    17,865.72x = 144,346,592.09
  5. Step 5: Solve for x
    x = 144,346,592.09/17,865.72
  6. Step 6: Final answer
    x = 8,079.53

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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.