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Finding the Fourth Proportional to 2,713.39, 4,063.76 and 1,981.15

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Solution

The fourth proportional to 2,713.39, 4,063.76 and 1,981.15 is: 2,967.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.39 : 4,063.76 = 1,981.15 : x
  2. Step 2: Convert to fraction form
    2,713.39/4,063.76 = 1,981.15/x
  3. Step 3: Cross multiply
    2,713.39x = 4,063.76 × 1,981.15
  4. Step 4: Simplify right side
    2,713.39x = 8,050,908.22
  5. Step 5: Solve for x
    x = 8,050,908.22/2,713.39
  6. Step 6: Final answer
    x = 2,967.10

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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.