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Finding the Fourth Proportional to 7,899.66, 11,840.04 and 3,512.16

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Solution

The fourth proportional to 7,899.66, 11,840.04 and 3,512.16 is: 5,264.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,899.66 : 11,840.04 = 3,512.16 : x
  2. Step 2: Convert to fraction form
    7,899.66/11,840.04 = 3,512.16/x
  3. Step 3: Cross multiply
    7,899.66x = 11,840.04 × 3,512.16
  4. Step 4: Simplify right side
    7,899.66x = 41,584,114.89
  5. Step 5: Solve for x
    x = 41,584,114.89/7,899.66
  6. Step 6: Final answer
    x = 5,264.04

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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.