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Finding the Fourth Proportional to 1,718.80, 2,578.74 and 1,412.08

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Solution

The fourth proportional to 1,718.80, 2,578.74 and 1,412.08 is: 2,118.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,718.80 : 2,578.74 = 1,412.08 : x
  2. Step 2: Convert to fraction form
    1,718.80/2,578.74 = 1,412.08/x
  3. Step 3: Cross multiply
    1,718.80x = 2,578.74 × 1,412.08
  4. Step 4: Simplify right side
    1,718.80x = 3,641,387.18
  5. Step 5: Solve for x
    x = 3,641,387.18/1,718.80
  6. Step 6: Final answer
    x = 2,118.56

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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.