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Finding the Fourth Proportional to 1,707.92, 2,357.28 and 1,427.84

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Solution

The fourth proportional to 1,707.92, 2,357.28 and 1,427.84 is: 1,970.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.92 : 2,357.28 = 1,427.84 : x
  2. Step 2: Convert to fraction form
    1,707.92/2,357.28 = 1,427.84/x
  3. Step 3: Cross multiply
    1,707.92x = 2,357.28 × 1,427.84
  4. Step 4: Simplify right side
    1,707.92x = 3,365,818.68
  5. Step 5: Solve for x
    x = 3,365,818.68/1,707.92
  6. Step 6: Final answer
    x = 1,970.71

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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.