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Finding the Fourth Proportional to 9,582.22, 13,223.46 and 5,390.47

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Solution

The fourth proportional to 9,582.22, 13,223.46 and 5,390.47 is: 7,438.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,582.22 : 13,223.46 = 5,390.47 : x
  2. Step 2: Convert to fraction form
    9,582.22/13,223.46 = 5,390.47/x
  3. Step 3: Cross multiply
    9,582.22x = 13,223.46 × 5,390.47
  4. Step 4: Simplify right side
    9,582.22x = 71,280,710.96
  5. Step 5: Solve for x
    x = 71,280,710.96/9,582.22
  6. Step 6: Final answer
    x = 7,438.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.