Home / 1,166-1,741.36-1,102.88

Finding the Fourth Proportional to 1,166, 1,741.36 and 1,102.88

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Solution

The fourth proportional to 1,166, 1,741.36 and 1,102.88 is: 1,647.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166 : 1,741.36 = 1,102.88 : x
  2. Step 2: Convert to fraction form
    1,166/1,741.36 = 1,102.88/x
  3. Step 3: Cross multiply
    1,166x = 1,741.36 × 1,102.88
  4. Step 4: Simplify right side
    1,166x = 1,920,511.12
  5. Step 5: Solve for x
    x = 1,920,511.12/1,166
  6. Step 6: Final answer
    x = 1,647.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.