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Finding the Fourth Proportional to 5,207.76, 7,170.48 and 4,919.04

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Solution

The fourth proportional to 5,207.76, 7,170.48 and 4,919.04 is: 6,772.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.76 : 7,170.48 = 4,919.04 : x
  2. Step 2: Convert to fraction form
    5,207.76/7,170.48 = 4,919.04/x
  3. Step 3: Cross multiply
    5,207.76x = 7,170.48 × 4,919.04
  4. Step 4: Simplify right side
    5,207.76x = 35,271,877.94
  5. Step 5: Solve for x
    x = 35,271,877.94/5,207.76
  6. Step 6: Final answer
    x = 6,772.95

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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.