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Finding the Fourth Proportional to 2,256, 3,113.34 and 1,261.45

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Solution

The fourth proportional to 2,256, 3,113.34 and 1,261.45 is: 1,740.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256 : 3,113.34 = 1,261.45 : x
  2. Step 2: Convert to fraction form
    2,256/3,113.34 = 1,261.45/x
  3. Step 3: Cross multiply
    2,256x = 3,113.34 × 1,261.45
  4. Step 4: Simplify right side
    2,256x = 3,927,314.96
  5. Step 5: Solve for x
    x = 3,927,314.96/2,256
  6. Step 6: Final answer
    x = 1,740.83

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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.