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Finding the Fourth Proportional to 1,707.92, 2,353.32 and 1,376.72

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Solution

The fourth proportional to 1,707.92, 2,353.32 and 1,376.72 is: 1,896.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.92 : 2,353.32 = 1,376.72 : x
  2. Step 2: Convert to fraction form
    1,707.92/2,353.32 = 1,376.72/x
  3. Step 3: Cross multiply
    1,707.92x = 2,353.32 × 1,376.72
  4. Step 4: Simplify right side
    1,707.92x = 3,239,862.71
  5. Step 5: Solve for x
    x = 3,239,862.71/1,707.92
  6. Step 6: Final answer
    x = 1,896.96

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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.