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Finding the Fourth Proportional to 1,715.44, 2,367.35 and 969.38

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Solution

The fourth proportional to 1,715.44, 2,367.35 and 969.38 is: 1,337.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.44 : 2,367.35 = 969.38 : x
  2. Step 2: Convert to fraction form
    1,715.44/2,367.35 = 969.38/x
  3. Step 3: Cross multiply
    1,715.44x = 2,367.35 × 969.38
  4. Step 4: Simplify right side
    1,715.44x = 2,294,861.74
  5. Step 5: Solve for x
    x = 2,294,861.74/1,715.44
  6. Step 6: Final answer
    x = 1,337.77

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1.5x scale

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.