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Finding the Fourth Proportional to 7,245.78, 10,871 and 3,298.45

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Solution

The fourth proportional to 7,245.78, 10,871 and 3,298.45 is: 4,948.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,245.78 : 10,871 = 3,298.45 : x
  2. Step 2: Convert to fraction form
    7,245.78/10,871 = 3,298.45/x
  3. Step 3: Cross multiply
    7,245.78x = 10,871 × 3,298.45
  4. Step 4: Simplify right side
    7,245.78x = 35,857,449.95
  5. Step 5: Solve for x
    x = 35,857,449.95/7,245.78
  6. Step 6: Final answer
    x = 4,948.74

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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.