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Finding the Fourth Proportional to 2,865.21, 4,295.72 and 916.29

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Solution

The fourth proportional to 2,865.21, 4,295.72 and 916.29 is: 1,373.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.21 : 4,295.72 = 916.29 : x
  2. Step 2: Convert to fraction form
    2,865.21/4,295.72 = 916.29/x
  3. Step 3: Cross multiply
    2,865.21x = 4,295.72 × 916.29
  4. Step 4: Simplify right side
    2,865.21x = 3,936,120.70
  5. Step 5: Solve for x
    x = 3,936,120.70/2,865.21
  6. Step 6: Final answer
    x = 1,373.76

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1.5x scale

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.