Home / 1,987.08-2,742.24-1,102.98

Finding the Fourth Proportional to 1,987.08, 2,742.24 and 1,102.98

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Solution

The fourth proportional to 1,987.08, 2,742.24 and 1,102.98 is: 1,522.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.08 : 2,742.24 = 1,102.98 : x
  2. Step 2: Convert to fraction form
    1,987.08/2,742.24 = 1,102.98/x
  3. Step 3: Cross multiply
    1,987.08x = 2,742.24 × 1,102.98
  4. Step 4: Simplify right side
    1,987.08x = 3,024,635.88
  5. Step 5: Solve for x
    x = 3,024,635.88/1,987.08
  6. Step 6: Final answer
    x = 1,522.15

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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.