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Finding the Fourth Proportional to 7,406.40, 10,218.40 and 4,422.72

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Solution

The fourth proportional to 7,406.40, 10,218.40 and 4,422.72 is: 6,101.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,406.40 : 10,218.40 = 4,422.72 : x
  2. Step 2: Convert to fraction form
    7,406.40/10,218.40 = 4,422.72/x
  3. Step 3: Cross multiply
    7,406.40x = 10,218.40 × 4,422.72
  4. Step 4: Simplify right side
    7,406.40x = 45,193,122.05
  5. Step 5: Solve for x
    x = 45,193,122.05/7,406.40
  6. Step 6: Final answer
    x = 6,101.90

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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.