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Finding the Fourth Proportional to 2,261.32, 3,395.22 and 1,478.86

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Solution

The fourth proportional to 2,261.32, 3,395.22 and 1,478.86 is: 2,220.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,261.32 : 3,395.22 = 1,478.86 : x
  2. Step 2: Convert to fraction form
    2,261.32/3,395.22 = 1,478.86/x
  3. Step 3: Cross multiply
    2,261.32x = 3,395.22 × 1,478.86
  4. Step 4: Simplify right side
    2,261.32x = 5,021,055.05
  5. Step 5: Solve for x
    x = 5,021,055.05/2,261.32
  6. Step 6: Final answer
    x = 2,220.41

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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.