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Finding the Fourth Proportional to 1,969.38, 2,715.22 and 1,614

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Solution

The fourth proportional to 1,969.38, 2,715.22 and 1,614 is: 2,225.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.38 : 2,715.22 = 1,614 : x
  2. Step 2: Convert to fraction form
    1,969.38/2,715.22 = 1,614/x
  3. Step 3: Cross multiply
    1,969.38x = 2,715.22 × 1,614
  4. Step 4: Simplify right side
    1,969.38x = 4,382,365.08
  5. Step 5: Solve for x
    x = 4,382,365.08/1,969.38
  6. Step 6: Final answer
    x = 2,225.25

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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.