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Finding the Fourth Proportional to 1,871.76, 2,794.02 and 1,717.68

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Solution

The fourth proportional to 1,871.76, 2,794.02 and 1,717.68 is: 2,564.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.76 : 2,794.02 = 1,717.68 : x
  2. Step 2: Convert to fraction form
    1,871.76/2,794.02 = 1,717.68/x
  3. Step 3: Cross multiply
    1,871.76x = 2,794.02 × 1,717.68
  4. Step 4: Simplify right side
    1,871.76x = 4,799,232.27
  5. Step 5: Solve for x
    x = 4,799,232.27/1,871.76
  6. Step 6: Final answer
    x = 2,564.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.