Home / 1,217-1,821.72-1,178.12

Finding the Fourth Proportional to 1,217, 1,821.72 and 1,178.12

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Solution

The fourth proportional to 1,217, 1,821.72 and 1,178.12 is: 1,763.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217 : 1,821.72 = 1,178.12 : x
  2. Step 2: Convert to fraction form
    1,217/1,821.72 = 1,178.12/x
  3. Step 3: Cross multiply
    1,217x = 1,821.72 × 1,178.12
  4. Step 4: Simplify right side
    1,217x = 2,146,204.77
  5. Step 5: Solve for x
    x = 2,146,204.77/1,217
  6. Step 6: Final answer
    x = 1,763.52

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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.