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Finding the Fourth Proportional to 7,800.96, 10,760.40 and 5,442.24

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Solution

The fourth proportional to 7,800.96, 10,760.40 and 5,442.24 is: 7,506.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.96 : 10,760.40 = 5,442.24 : x
  2. Step 2: Convert to fraction form
    7,800.96/10,760.40 = 5,442.24/x
  3. Step 3: Cross multiply
    7,800.96x = 10,760.40 × 5,442.24
  4. Step 4: Simplify right side
    7,800.96x = 58,560,679.30
  5. Step 5: Solve for x
    x = 58,560,679.30/7,800.96
  6. Step 6: Final answer
    x = 7,506.86

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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.