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Finding the Fourth Proportional to 7,947.60, 11,911.20 and 4,437.60

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Solution

The fourth proportional to 7,947.60, 11,911.20 and 4,437.60 is: 6,650.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,947.60 : 11,911.20 = 4,437.60 : x
  2. Step 2: Convert to fraction form
    7,947.60/11,911.20 = 4,437.60/x
  3. Step 3: Cross multiply
    7,947.60x = 11,911.20 × 4,437.60
  4. Step 4: Simplify right side
    7,947.60x = 52,857,141.12
  5. Step 5: Solve for x
    x = 52,857,141.12/7,947.60
  6. Step 6: Final answer
    x = 6,650.70

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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.