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Finding the Fourth Proportional to 7,948, 10,964.46 and 5,591.44

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Solution

The fourth proportional to 7,948, 10,964.46 and 5,591.44 is: 7,713.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,948 : 10,964.46 = 5,591.44 : x
  2. Step 2: Convert to fraction form
    7,948/10,964.46 = 5,591.44/x
  3. Step 3: Cross multiply
    7,948x = 10,964.46 × 5,591.44
  4. Step 4: Simplify right side
    7,948x = 61,307,120.22
  5. Step 5: Solve for x
    x = 61,307,120.22/7,948
  6. Step 6: Final answer
    x = 7,713.53

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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.