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Finding the Fourth Proportional to 2,078.32, 3,116.84 and 710

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Solution

The fourth proportional to 2,078.32, 3,116.84 and 710 is: 1,064.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.32 : 3,116.84 = 710 : x
  2. Step 2: Convert to fraction form
    2,078.32/3,116.84 = 710/x
  3. Step 3: Cross multiply
    2,078.32x = 3,116.84 × 710
  4. Step 4: Simplify right side
    2,078.32x = 2,212,956.40
  5. Step 5: Solve for x
    x = 2,212,956.40/2,078.32
  6. Step 6: Final answer
    x = 1,064.78

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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.