Home / 1,188.30-1,783.22-1,098.12

Finding the Fourth Proportional to 1,188.30, 1,783.22 and 1,098.12

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Solution

The fourth proportional to 1,188.30, 1,783.22 and 1,098.12 is: 1,647.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.30 : 1,783.22 = 1,098.12 : x
  2. Step 2: Convert to fraction form
    1,188.30/1,783.22 = 1,098.12/x
  3. Step 3: Cross multiply
    1,188.30x = 1,783.22 × 1,098.12
  4. Step 4: Simplify right side
    1,188.30x = 1,958,184.06
  5. Step 5: Solve for x
    x = 1,958,184.06/1,188.30
  6. Step 6: Final answer
    x = 1,647.89

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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.