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Finding the Fourth Proportional to 2,379.92, 3,569.84 and 1,412.16

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Solution

The fourth proportional to 2,379.92, 3,569.84 and 1,412.16 is: 2,118.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.92 : 3,569.84 = 1,412.16 : x
  2. Step 2: Convert to fraction form
    2,379.92/3,569.84 = 1,412.16/x
  3. Step 3: Cross multiply
    2,379.92x = 3,569.84 × 1,412.16
  4. Step 4: Simplify right side
    2,379.92x = 5,041,185.25
  5. Step 5: Solve for x
    x = 5,041,185.25/2,379.92
  6. Step 6: Final answer
    x = 2,118.22

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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.