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Finding the Fourth Proportional to 28,518.97, 42,778.46 and 7,742.47

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Solution

The fourth proportional to 28,518.97, 42,778.46 and 7,742.47 is: 11,613.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,518.97 : 42,778.46 = 7,742.47 : x
  2. Step 2: Convert to fraction form
    28,518.97/42,778.46 = 7,742.47/x
  3. Step 3: Cross multiply
    28,518.97x = 42,778.46 × 7,742.47
  4. Step 4: Simplify right side
    28,518.97x = 331,210,943.20
  5. Step 5: Solve for x
    x = 331,210,943.20/28,518.97
  6. Step 6: Final answer
    x = 11,613.71

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1.5x scale

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.