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Finding the Fourth Proportional to 7,775.88, 10,743.24 and 5,428.44

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Solution

The fourth proportional to 7,775.88, 10,743.24 and 5,428.44 is: 7,499.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.88 : 10,743.24 = 5,428.44 : x
  2. Step 2: Convert to fraction form
    7,775.88/10,743.24 = 5,428.44/x
  3. Step 3: Cross multiply
    7,775.88x = 10,743.24 × 5,428.44
  4. Step 4: Simplify right side
    7,775.88x = 58,319,033.75
  5. Step 5: Solve for x
    x = 58,319,033.75/7,775.88
  6. Step 6: Final answer
    x = 7,499.99

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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.