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Finding the Fourth Proportional to 9,240.96, 12,756 and 6,272.16

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Solution

The fourth proportional to 9,240.96, 12,756 and 6,272.16 is: 8,657.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,240.96 : 12,756 = 6,272.16 : x
  2. Step 2: Convert to fraction form
    9,240.96/12,756 = 6,272.16/x
  3. Step 3: Cross multiply
    9,240.96x = 12,756 × 6,272.16
  4. Step 4: Simplify right side
    9,240.96x = 80,007,672.96
  5. Step 5: Solve for x
    x = 80,007,672.96/9,240.96
  6. Step 6: Final answer
    x = 8,657.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.