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Finding the Fourth Proportional to 9,582.14, 13,225.18 and 5,390.39

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Solution

The fourth proportional to 9,582.14, 13,225.18 and 5,390.39 is: 7,439.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,582.14 : 13,225.18 = 5,390.39 : x
  2. Step 2: Convert to fraction form
    9,582.14/13,225.18 = 5,390.39/x
  3. Step 3: Cross multiply
    9,582.14x = 13,225.18 × 5,390.39
  4. Step 4: Simplify right side
    9,582.14x = 71,288,917.82
  5. Step 5: Solve for x
    x = 71,288,917.82/9,582.14
  6. Step 6: Final answer
    x = 7,439.77

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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.