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Finding the Fourth Proportional to 30,997.52, 42,775.08 and 16,849.52

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Solution

The fourth proportional to 30,997.52, 42,775.08 and 16,849.52 is: 23,251.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,997.52 : 42,775.08 = 16,849.52 : x
  2. Step 2: Convert to fraction form
    30,997.52/42,775.08 = 16,849.52/x
  3. Step 3: Cross multiply
    30,997.52x = 42,775.08 × 16,849.52
  4. Step 4: Simplify right side
    30,997.52x = 720,739,565.96
  5. Step 5: Solve for x
    x = 720,739,565.96/30,997.52
  6. Step 6: Final answer
    x = 23,251.52

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1.5x scale

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.