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Finding the Fourth Proportional to 9,582.10, 13,223.25 and 5,390.38

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Solution

The fourth proportional to 9,582.10, 13,223.25 and 5,390.38 is: 7,438.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,582.10 : 13,223.25 = 5,390.38 : x
  2. Step 2: Convert to fraction form
    9,582.10/13,223.25 = 5,390.38/x
  3. Step 3: Cross multiply
    9,582.10x = 13,223.25 × 5,390.38
  4. Step 4: Simplify right side
    9,582.10x = 71,278,342.34
  5. Step 5: Solve for x
    x = 71,278,342.34/9,582.10
  6. Step 6: Final answer
    x = 7,438.70

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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.