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Finding the Fourth Proportional to 2,874.06, 4,309.02 and 1,412.10

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Solution

The fourth proportional to 2,874.06, 4,309.02 and 1,412.10 is: 2,117.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.06 : 4,309.02 = 1,412.10 : x
  2. Step 2: Convert to fraction form
    2,874.06/4,309.02 = 1,412.10/x
  3. Step 3: Cross multiply
    2,874.06x = 4,309.02 × 1,412.10
  4. Step 4: Simplify right side
    2,874.06x = 6,084,767.14
  5. Step 5: Solve for x
    x = 6,084,767.14/2,874.06
  6. Step 6: Final answer
    x = 2,117.13

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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.