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Finding the Fourth Proportional to 8,767.64, 12,102.70 and 5,411

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Solution

The fourth proportional to 8,767.64, 12,102.70 and 5,411 is: 7,469.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,767.64 : 12,102.70 = 5,411 : x
  2. Step 2: Convert to fraction form
    8,767.64/12,102.70 = 5,411/x
  3. Step 3: Cross multiply
    8,767.64x = 12,102.70 × 5,411
  4. Step 4: Simplify right side
    8,767.64x = 65,487,709.70
  5. Step 5: Solve for x
    x = 65,487,709.70/8,767.64
  6. Step 6: Final answer
    x = 7,469.25

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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.