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Finding the Fourth Proportional to 2,017.98, 3,026.66 and 719.15

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Solution

The fourth proportional to 2,017.98, 3,026.66 and 719.15 is: 1,078.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.98 : 3,026.66 = 719.15 : x
  2. Step 2: Convert to fraction form
    2,017.98/3,026.66 = 719.15/x
  3. Step 3: Cross multiply
    2,017.98x = 3,026.66 × 719.15
  4. Step 4: Simplify right side
    2,017.98x = 2,176,603.81
  5. Step 5: Solve for x
    x = 2,176,603.81/2,017.98
  6. Step 6: Final answer
    x = 1,078.61

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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.