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Finding the Fourth Proportional to 1,950.60, 2,691.88 and 1,205

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Solution

The fourth proportional to 1,950.60, 2,691.88 and 1,205 is: 1,662.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950.60 : 2,691.88 = 1,205 : x
  2. Step 2: Convert to fraction form
    1,950.60/2,691.88 = 1,205/x
  3. Step 3: Cross multiply
    1,950.60x = 2,691.88 × 1,205
  4. Step 4: Simplify right side
    1,950.60x = 3,243,715.40
  5. Step 5: Solve for x
    x = 3,243,715.40/1,950.60
  6. Step 6: Final answer
    x = 1,662.93

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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.