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Finding the Fourth Proportional to 2,905.40, 4,007.84 and 2,508.71

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Solution

The fourth proportional to 2,905.40, 4,007.84 and 2,508.71 is: 3,460.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,905.40 : 4,007.84 = 2,508.71 : x
  2. Step 2: Convert to fraction form
    2,905.40/4,007.84 = 2,508.71/x
  3. Step 3: Cross multiply
    2,905.40x = 4,007.84 × 2,508.71
  4. Step 4: Simplify right side
    2,905.40x = 10,054,475.70
  5. Step 5: Solve for x
    x = 10,054,475.70/2,905.40
  6. Step 6: Final answer
    x = 3,460.61

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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.