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Finding the Fourth Proportional to 2,872.67, 4,309.16 and 1,228.10

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Solution

The fourth proportional to 2,872.67, 4,309.16 and 1,228.10 is: 1,842.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.67 : 4,309.16 = 1,228.10 : x
  2. Step 2: Convert to fraction form
    2,872.67/4,309.16 = 1,228.10/x
  3. Step 3: Cross multiply
    2,872.67x = 4,309.16 × 1,228.10
  4. Step 4: Simplify right side
    2,872.67x = 5,292,051.71
  5. Step 5: Solve for x
    x = 5,292,051.71/2,872.67
  6. Step 6: Final answer
    x = 1,842.21

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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.