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Finding the Fourth Proportional to 7,834.16, 11,751.28 and 2,640.08

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Solution

The fourth proportional to 7,834.16, 11,751.28 and 2,640.08 is: 3,960.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,834.16 : 11,751.28 = 2,640.08 : x
  2. Step 2: Convert to fraction form
    7,834.16/11,751.28 = 2,640.08/x
  3. Step 3: Cross multiply
    7,834.16x = 11,751.28 × 2,640.08
  4. Step 4: Simplify right side
    7,834.16x = 31,024,319.30
  5. Step 5: Solve for x
    x = 31,024,319.30/7,834.16
  6. Step 6: Final answer
    x = 3,960.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.