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Finding the Fourth Proportional to 2,708.74, 4,063.11 and 977.36

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Solution

The fourth proportional to 2,708.74, 4,063.11 and 977.36 is: 1,466.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.74 : 4,063.11 = 977.36 : x
  2. Step 2: Convert to fraction form
    2,708.74/4,063.11 = 977.36/x
  3. Step 3: Cross multiply
    2,708.74x = 4,063.11 × 977.36
  4. Step 4: Simplify right side
    2,708.74x = 3,971,121.19
  5. Step 5: Solve for x
    x = 3,971,121.19/2,708.74
  6. Step 6: Final answer
    x = 1,466.04

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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.