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Finding the Fourth Proportional to 7,316.80, 10,978.80 and 5,561.20

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Solution

The fourth proportional to 7,316.80, 10,978.80 and 5,561.20 is: 8,344.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,316.80 : 10,978.80 = 5,561.20 : x
  2. Step 2: Convert to fraction form
    7,316.80/10,978.80 = 5,561.20/x
  3. Step 3: Cross multiply
    7,316.80x = 10,978.80 × 5,561.20
  4. Step 4: Simplify right side
    7,316.80x = 61,055,302.56
  5. Step 5: Solve for x
    x = 61,055,302.56/7,316.80
  6. Step 6: Final answer
    x = 8,344.54

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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.