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Finding the Fourth Proportional to 1,717.82, 2,368.42 and 1,402.76

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Solution

The fourth proportional to 1,717.82, 2,368.42 and 1,402.76 is: 1,934.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,717.82 : 2,368.42 = 1,402.76 : x
  2. Step 2: Convert to fraction form
    1,717.82/2,368.42 = 1,402.76/x
  3. Step 3: Cross multiply
    1,717.82x = 2,368.42 × 1,402.76
  4. Step 4: Simplify right side
    1,717.82x = 3,322,324.84
  5. Step 5: Solve for x
    x = 3,322,324.84/1,717.82
  6. Step 6: Final answer
    x = 1,934.04

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Half scale
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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.