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Finding the Fourth Proportional to 5,312.92, 7,971 and 2,717.68

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Solution

The fourth proportional to 5,312.92, 7,971 and 2,717.68 is: 4,077.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312.92 : 7,971 = 2,717.68 : x
  2. Step 2: Convert to fraction form
    5,312.92/7,971 = 2,717.68/x
  3. Step 3: Cross multiply
    5,312.92x = 7,971 × 2,717.68
  4. Step 4: Simplify right side
    5,312.92x = 21,662,627.28
  5. Step 5: Solve for x
    x = 21,662,627.28/5,312.92
  6. Step 6: Final answer
    x = 4,077.35

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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.