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Finding the Fourth Proportional to 2,895.70, 4,340.91 and 1,046.40

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Solution

The fourth proportional to 2,895.70, 4,340.91 and 1,046.40 is: 1,568.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,895.70 : 4,340.91 = 1,046.40 : x
  2. Step 2: Convert to fraction form
    2,895.70/4,340.91 = 1,046.40/x
  3. Step 3: Cross multiply
    2,895.70x = 4,340.91 × 1,046.40
  4. Step 4: Simplify right side
    2,895.70x = 4,542,328.22
  5. Step 5: Solve for x
    x = 4,542,328.22/2,895.70
  6. Step 6: Final answer
    x = 1,568.65

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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.