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Finding the Fourth Proportional to 2,014.40, 2,772.32 and 1,662.40

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Solution

The fourth proportional to 2,014.40, 2,772.32 and 1,662.40 is: 2,287.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.40 : 2,772.32 = 1,662.40 : x
  2. Step 2: Convert to fraction form
    2,014.40/2,772.32 = 1,662.40/x
  3. Step 3: Cross multiply
    2,014.40x = 2,772.32 × 1,662.40
  4. Step 4: Simplify right side
    2,014.40x = 4,608,704.77
  5. Step 5: Solve for x
    x = 4,608,704.77/2,014.40
  6. Step 6: Final answer
    x = 2,287.88

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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.