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Finding the Fourth Proportional to 1,731.92, 2,608.80 and 1,709.24

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Solution

The fourth proportional to 1,731.92, 2,608.80 and 1,709.24 is: 2,574.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.92 : 2,608.80 = 1,709.24 : x
  2. Step 2: Convert to fraction form
    1,731.92/2,608.80 = 1,709.24/x
  3. Step 3: Cross multiply
    1,731.92x = 2,608.80 × 1,709.24
  4. Step 4: Simplify right side
    1,731.92x = 4,459,065.31
  5. Step 5: Solve for x
    x = 4,459,065.31/1,731.92
  6. Step 6: Final answer
    x = 2,574.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.