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Finding the Fourth Proportional to 7,909.75, 10,915.64 and 5,120.11

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Solution

The fourth proportional to 7,909.75, 10,915.64 and 5,120.11 is: 7,065.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,909.75 : 10,915.64 = 5,120.11 : x
  2. Step 2: Convert to fraction form
    7,909.75/10,915.64 = 5,120.11/x
  3. Step 3: Cross multiply
    7,909.75x = 10,915.64 × 5,120.11
  4. Step 4: Simplify right side
    7,909.75x = 55,889,277.52
  5. Step 5: Solve for x
    x = 55,889,277.52/7,909.75
  6. Step 6: Final answer
    x = 7,065.87

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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.