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Finding the Fourth Proportional to 1,809.83, 2,712.38 and 987.89

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Solution

The fourth proportional to 1,809.83, 2,712.38 and 987.89 is: 1,480.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.83 : 2,712.38 = 987.89 : x
  2. Step 2: Convert to fraction form
    1,809.83/2,712.38 = 987.89/x
  3. Step 3: Cross multiply
    1,809.83x = 2,712.38 × 987.89
  4. Step 4: Simplify right side
    1,809.83x = 2,679,514.58
  5. Step 5: Solve for x
    x = 2,679,514.58/1,809.83
  6. Step 6: Final answer
    x = 1,480.54

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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.