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Finding the Fourth Proportional to 2,871.63, 4,307.90 and 1,228.19

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Solution

The fourth proportional to 2,871.63, 4,307.90 and 1,228.19 is: 1,842.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.63 : 4,307.90 = 1,228.19 : x
  2. Step 2: Convert to fraction form
    2,871.63/4,307.90 = 1,228.19/x
  3. Step 3: Cross multiply
    2,871.63x = 4,307.90 × 1,228.19
  4. Step 4: Simplify right side
    2,871.63x = 5,290,919.70
  5. Step 5: Solve for x
    x = 5,290,919.70/2,871.63
  6. Step 6: Final answer
    x = 1,842.48

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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.