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Finding the Fourth Proportional to 7,964.78, 11,945.57 and 7,569.60

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Solution

The fourth proportional to 7,964.78, 11,945.57 and 7,569.60 is: 11,352.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,964.78 : 11,945.57 = 7,569.60 : x
  2. Step 2: Convert to fraction form
    7,964.78/11,945.57 = 7,569.60/x
  3. Step 3: Cross multiply
    7,964.78x = 11,945.57 × 7,569.60
  4. Step 4: Simplify right side
    7,964.78x = 90,423,104.03
  5. Step 5: Solve for x
    x = 90,423,104.03/7,964.78
  6. Step 6: Final answer
    x = 11,352.88

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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.