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Finding the Fourth Proportional to 2,387.67, 3,578.73 and 1,412.63

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Solution

The fourth proportional to 2,387.67, 3,578.73 and 1,412.63 is: 2,117.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.67 : 3,578.73 = 1,412.63 : x
  2. Step 2: Convert to fraction form
    2,387.67/3,578.73 = 1,412.63/x
  3. Step 3: Cross multiply
    2,387.67x = 3,578.73 × 1,412.63
  4. Step 4: Simplify right side
    2,387.67x = 5,055,421.36
  5. Step 5: Solve for x
    x = 5,055,421.36/2,387.67
  6. Step 6: Final answer
    x = 2,117.30

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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.