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Finding the Fourth Proportional to 2,309.68, 3,460.80 and 1,790.92

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Solution

The fourth proportional to 2,309.68, 3,460.80 and 1,790.92 is: 2,683.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.68 : 3,460.80 = 1,790.92 : x
  2. Step 2: Convert to fraction form
    2,309.68/3,460.80 = 1,790.92/x
  3. Step 3: Cross multiply
    2,309.68x = 3,460.80 × 1,790.92
  4. Step 4: Simplify right side
    2,309.68x = 6,198,015.94
  5. Step 5: Solve for x
    x = 6,198,015.94/2,309.68
  6. Step 6: Final answer
    x = 2,683.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.