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Finding the Fourth Proportional to 7,147.60, 9,863.64 and 4,003.60

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Solution

The fourth proportional to 7,147.60, 9,863.64 and 4,003.60 is: 5,524.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147.60 : 9,863.64 = 4,003.60 : x
  2. Step 2: Convert to fraction form
    7,147.60/9,863.64 = 4,003.60/x
  3. Step 3: Cross multiply
    7,147.60x = 9,863.64 × 4,003.60
  4. Step 4: Simplify right side
    7,147.60x = 39,490,069.10
  5. Step 5: Solve for x
    x = 39,490,069.10/7,147.60
  6. Step 6: Final answer
    x = 5,524.94

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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.