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Finding the Fourth Proportional to 9,180, 12,666.24 and 5,200.32

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Solution

The fourth proportional to 9,180, 12,666.24 and 5,200.32 is: 7,175.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,180 : 12,666.24 = 5,200.32 : x
  2. Step 2: Convert to fraction form
    9,180/12,666.24 = 5,200.32/x
  3. Step 3: Cross multiply
    9,180x = 12,666.24 × 5,200.32
  4. Step 4: Simplify right side
    9,180x = 65,868,501.20
  5. Step 5: Solve for x
    x = 65,868,501.20/9,180
  6. Step 6: Final answer
    x = 7,175.22

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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.