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Finding the Fourth Proportional to 2,361.76, 3,541.46 and 880.48

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Solution

The fourth proportional to 2,361.76, 3,541.46 and 880.48 is: 1,320.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.76 : 3,541.46 = 880.48 : x
  2. Step 2: Convert to fraction form
    2,361.76/3,541.46 = 880.48/x
  3. Step 3: Cross multiply
    2,361.76x = 3,541.46 × 880.48
  4. Step 4: Simplify right side
    2,361.76x = 3,118,184.70
  5. Step 5: Solve for x
    x = 3,118,184.70/2,361.76
  6. Step 6: Final answer
    x = 1,320.28

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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.