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Finding the Fourth Proportional to 35,715.52, 49,287.03 and 20,608

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Solution

The fourth proportional to 35,715.52, 49,287.03 and 20,608 is: 28,438.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,715.52 : 49,287.03 = 20,608 : x
  2. Step 2: Convert to fraction form
    35,715.52/49,287.03 = 20,608/x
  3. Step 3: Cross multiply
    35,715.52x = 49,287.03 × 20,608
  4. Step 4: Simplify right side
    35,715.52x = 1,015,707,114.24
  5. Step 5: Solve for x
    x = 1,015,707,114.24/35,715.52
  6. Step 6: Final answer
    x = 28,438.82

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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.