Home / 1,987.34-2,739.69-1,566

Finding the Fourth Proportional to 1,987.34, 2,739.69 and 1,566

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Solution

The fourth proportional to 1,987.34, 2,739.69 and 1,566 is: 2,158.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.34 : 2,739.69 = 1,566 : x
  2. Step 2: Convert to fraction form
    1,987.34/2,739.69 = 1,566/x
  3. Step 3: Cross multiply
    1,987.34x = 2,739.69 × 1,566
  4. Step 4: Simplify right side
    1,987.34x = 4,290,354.54
  5. Step 5: Solve for x
    x = 4,290,354.54/1,987.34
  6. Step 6: Final answer
    x = 2,158.85

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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.