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Finding the Fourth Proportional to 9,112.50, 12,582.84 and 6,138.18

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Solution

The fourth proportional to 9,112.50, 12,582.84 and 6,138.18 is: 8,475.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,112.50 : 12,582.84 = 6,138.18 : x
  2. Step 2: Convert to fraction form
    9,112.50/12,582.84 = 6,138.18/x
  3. Step 3: Cross multiply
    9,112.50x = 12,582.84 × 6,138.18
  4. Step 4: Simplify right side
    9,112.50x = 77,235,736.83
  5. Step 5: Solve for x
    x = 77,235,736.83/9,112.50
  6. Step 6: Final answer
    x = 8,475.80

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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.