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Finding the Fourth Proportional to 1,969.47, 2,950.22 and 913.79

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Solution

The fourth proportional to 1,969.47, 2,950.22 and 913.79 is: 1,368.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.47 : 2,950.22 = 913.79 : x
  2. Step 2: Convert to fraction form
    1,969.47/2,950.22 = 913.79/x
  3. Step 3: Cross multiply
    1,969.47x = 2,950.22 × 913.79
  4. Step 4: Simplify right side
    1,969.47x = 2,695,862.21
  5. Step 5: Solve for x
    x = 2,695,862.21/1,969.47
  6. Step 6: Final answer
    x = 1,368.83

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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.