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Finding the Fourth Proportional to 2,017.20, 3,026.10 and 718.32

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Solution

The fourth proportional to 2,017.20, 3,026.10 and 718.32 is: 1,077.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.20 : 3,026.10 = 718.32 : x
  2. Step 2: Convert to fraction form
    2,017.20/3,026.10 = 718.32/x
  3. Step 3: Cross multiply
    2,017.20x = 3,026.10 × 718.32
  4. Step 4: Simplify right side
    2,017.20x = 2,173,708.15
  5. Step 5: Solve for x
    x = 2,173,708.15/2,017.20
  6. Step 6: Final answer
    x = 1,077.59

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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.