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Finding the Fourth Proportional to 1,179, 1,776.15 and 1,121.70

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Solution

The fourth proportional to 1,179, 1,776.15 and 1,121.70 is: 1,689.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179 : 1,776.15 = 1,121.70 : x
  2. Step 2: Convert to fraction form
    1,179/1,776.15 = 1,121.70/x
  3. Step 3: Cross multiply
    1,179x = 1,776.15 × 1,121.70
  4. Step 4: Simplify right side
    1,179x = 1,992,307.46
  5. Step 5: Solve for x
    x = 1,992,307.46/1,179
  6. Step 6: Final answer
    x = 1,689.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.