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Finding the Fourth Proportional to 9,306.72, 12,857.40 and 6,944.76

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Solution

The fourth proportional to 9,306.72, 12,857.40 and 6,944.76 is: 9,594.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.72 : 12,857.40 = 6,944.76 : x
  2. Step 2: Convert to fraction form
    9,306.72/12,857.40 = 6,944.76/x
  3. Step 3: Cross multiply
    9,306.72x = 12,857.40 × 6,944.76
  4. Step 4: Simplify right side
    9,306.72x = 89,291,557.22
  5. Step 5: Solve for x
    x = 89,291,557.22/9,306.72
  6. Step 6: Final answer
    x = 9,594.31

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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.