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Finding the Fourth Proportional to 2,328.80, 3,212.80 and 1,444.96

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Solution

The fourth proportional to 2,328.80, 3,212.80 and 1,444.96 is: 1,993.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.80 : 3,212.80 = 1,444.96 : x
  2. Step 2: Convert to fraction form
    2,328.80/3,212.80 = 1,444.96/x
  3. Step 3: Cross multiply
    2,328.80x = 3,212.80 × 1,444.96
  4. Step 4: Simplify right side
    2,328.80x = 4,642,367.49
  5. Step 5: Solve for x
    x = 4,642,367.49/2,328.80
  6. Step 6: Final answer
    x = 1,993.46

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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.