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Finding the Fourth Proportional to 1,708.72, 2,364.68 and 1,679.92

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Solution

The fourth proportional to 1,708.72, 2,364.68 and 1,679.92 is: 2,324.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708.72 : 2,364.68 = 1,679.92 : x
  2. Step 2: Convert to fraction form
    1,708.72/2,364.68 = 1,679.92/x
  3. Step 3: Cross multiply
    1,708.72x = 2,364.68 × 1,679.92
  4. Step 4: Simplify right side
    1,708.72x = 3,972,473.23
  5. Step 5: Solve for x
    x = 3,972,473.23/1,708.72
  6. Step 6: Final answer
    x = 2,324.82

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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.