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Finding the Fourth Proportional to 30,797.65, 42,493.42 and 18,697.85

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Solution

The fourth proportional to 30,797.65, 42,493.42 and 18,697.85 is: 25,798.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,797.65 : 42,493.42 = 18,697.85 : x
  2. Step 2: Convert to fraction form
    30,797.65/42,493.42 = 18,697.85/x
  3. Step 3: Cross multiply
    30,797.65x = 42,493.42 × 18,697.85
  4. Step 4: Simplify right side
    30,797.65x = 794,535,593.15
  5. Step 5: Solve for x
    x = 794,535,593.15/30,797.65
  6. Step 6: Final answer
    x = 25,798.58

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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.