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Finding the Fourth Proportional to 7,319.73, 10,978.40 and 2,055.10

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Solution

The fourth proportional to 7,319.73, 10,978.40 and 2,055.10 is: 3,082.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,319.73 : 10,978.40 = 2,055.10 : x
  2. Step 2: Convert to fraction form
    7,319.73/10,978.40 = 2,055.10/x
  3. Step 3: Cross multiply
    7,319.73x = 10,978.40 × 2,055.10
  4. Step 4: Simplify right side
    7,319.73x = 22,561,668.57
  5. Step 5: Solve for x
    x = 22,561,668.57/7,319.73
  6. Step 6: Final answer
    x = 3,082.31

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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.