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Finding the Fourth Proportional to 2,742.57, 4,113.01 and 2,303.95

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Solution

The fourth proportional to 2,742.57, 4,113.01 and 2,303.95 is: 3,455.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.57 : 4,113.01 = 2,303.95 : x
  2. Step 2: Convert to fraction form
    2,742.57/4,113.01 = 2,303.95/x
  3. Step 3: Cross multiply
    2,742.57x = 4,113.01 × 2,303.95
  4. Step 4: Simplify right side
    2,742.57x = 9,476,169.39
  5. Step 5: Solve for x
    x = 9,476,169.39/2,742.57
  6. Step 6: Final answer
    x = 3,455.22

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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.