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Finding the Fourth Proportional to 1,786, 2,463.60 and 1,451.20

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Solution

The fourth proportional to 1,786, 2,463.60 and 1,451.20 is: 2,001.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786 : 2,463.60 = 1,451.20 : x
  2. Step 2: Convert to fraction form
    1,786/2,463.60 = 1,451.20/x
  3. Step 3: Cross multiply
    1,786x = 2,463.60 × 1,451.20
  4. Step 4: Simplify right side
    1,786x = 3,575,176.32
  5. Step 5: Solve for x
    x = 3,575,176.32/1,786
  6. Step 6: Final answer
    x = 2,001.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.