Home / 2,314.81-3,470.95-1,142.25

Finding the Fourth Proportional to 2,314.81, 3,470.95 and 1,142.25

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Solution

The fourth proportional to 2,314.81, 3,470.95 and 1,142.25 is: 1,712.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.81 : 3,470.95 = 1,142.25 : x
  2. Step 2: Convert to fraction form
    2,314.81/3,470.95 = 1,142.25/x
  3. Step 3: Cross multiply
    2,314.81x = 3,470.95 × 1,142.25
  4. Step 4: Simplify right side
    2,314.81x = 3,964,692.64
  5. Step 5: Solve for x
    x = 3,964,692.64/2,314.81
  6. Step 6: Final answer
    x = 1,712.75

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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.