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Finding the Fourth Proportional to 9,582.66, 13,223.88 and 5,390.88

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Solution

The fourth proportional to 9,582.66, 13,223.88 and 5,390.88 is: 7,439.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,582.66 : 13,223.88 = 5,390.88 : x
  2. Step 2: Convert to fraction form
    9,582.66/13,223.88 = 5,390.88/x
  3. Step 3: Cross multiply
    9,582.66x = 13,223.88 × 5,390.88
  4. Step 4: Simplify right side
    9,582.66x = 71,288,350.21
  5. Step 5: Solve for x
    x = 71,288,350.21/9,582.66
  6. Step 6: Final answer
    x = 7,439.31

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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.