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Finding the Fourth Proportional to 3,490.97, 4,815.86 and 2,230.61

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Solution

The fourth proportional to 3,490.97, 4,815.86 and 2,230.61 is: 3,077.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.97 : 4,815.86 = 2,230.61 : x
  2. Step 2: Convert to fraction form
    3,490.97/4,815.86 = 2,230.61/x
  3. Step 3: Cross multiply
    3,490.97x = 4,815.86 × 2,230.61
  4. Step 4: Simplify right side
    3,490.97x = 10,742,270.24
  5. Step 5: Solve for x
    x = 10,742,270.24/3,490.97
  6. Step 6: Final answer
    x = 3,077.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.