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Finding the Fourth Proportional to 1,715.53, 2,367.49 and 969.52

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Solution

The fourth proportional to 1,715.53, 2,367.49 and 969.52 is: 1,337.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.53 : 2,367.49 = 969.52 : x
  2. Step 2: Convert to fraction form
    1,715.53/2,367.49 = 969.52/x
  3. Step 3: Cross multiply
    1,715.53x = 2,367.49 × 969.52
  4. Step 4: Simplify right side
    1,715.53x = 2,295,328.90
  5. Step 5: Solve for x
    x = 2,295,328.90/1,715.53
  6. Step 6: Final answer
    x = 1,337.97

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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.