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Finding the Fourth Proportional to 9,240.78, 12,749.04 and 7,116.96

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Solution

The fourth proportional to 9,240.78, 12,749.04 and 7,116.96 is: 9,818.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,240.78 : 12,749.04 = 7,116.96 : x
  2. Step 2: Convert to fraction form
    9,240.78/12,749.04 = 7,116.96/x
  3. Step 3: Cross multiply
    9,240.78x = 12,749.04 × 7,116.96
  4. Step 4: Simplify right side
    9,240.78x = 90,734,407.72
  5. Step 5: Solve for x
    x = 90,734,407.72/9,240.78
  6. Step 6: Final answer
    x = 9,818.91

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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.