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Finding the Fourth Proportional to 9,246.96, 12,757.50 and 5,712.12

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Solution

The fourth proportional to 9,246.96, 12,757.50 and 5,712.12 is: 7,880.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,246.96 : 12,757.50 = 5,712.12 : x
  2. Step 2: Convert to fraction form
    9,246.96/12,757.50 = 5,712.12/x
  3. Step 3: Cross multiply
    9,246.96x = 12,757.50 × 5,712.12
  4. Step 4: Simplify right side
    9,246.96x = 72,872,370.90
  5. Step 5: Solve for x
    x = 72,872,370.90/9,246.96
  6. Step 6: Final answer
    x = 7,880.68

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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.