Home / 2,314.78-3,470.65-1,064.85

Finding the Fourth Proportional to 2,314.78, 3,470.65 and 1,064.85

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Solution

The fourth proportional to 2,314.78, 3,470.65 and 1,064.85 is: 1,596.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.78 : 3,470.65 = 1,064.85 : x
  2. Step 2: Convert to fraction form
    2,314.78/3,470.65 = 1,064.85/x
  3. Step 3: Cross multiply
    2,314.78x = 3,470.65 × 1,064.85
  4. Step 4: Simplify right side
    2,314.78x = 3,695,705.98
  5. Step 5: Solve for x
    x = 3,695,705.98/2,314.78
  6. Step 6: Final answer
    x = 1,596.57

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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.