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Finding the Fourth Proportional to 6,655.32, 9,979.80 and 2,271.60

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Solution

The fourth proportional to 6,655.32, 9,979.80 and 2,271.60 is: 3,406.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,655.32 : 9,979.80 = 2,271.60 : x
  2. Step 2: Convert to fraction form
    6,655.32/9,979.80 = 2,271.60/x
  3. Step 3: Cross multiply
    6,655.32x = 9,979.80 × 2,271.60
  4. Step 4: Simplify right side
    6,655.32x = 22,670,113.68
  5. Step 5: Solve for x
    x = 22,670,113.68/6,655.32
  6. Step 6: Final answer
    x = 3,406.31

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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.