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Finding the Fourth Proportional to 2,002.68, 2,761.74 and 1,783.80

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Solution

The fourth proportional to 2,002.68, 2,761.74 and 1,783.80 is: 2,459.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.68 : 2,761.74 = 1,783.80 : x
  2. Step 2: Convert to fraction form
    2,002.68/2,761.74 = 1,783.80/x
  3. Step 3: Cross multiply
    2,002.68x = 2,761.74 × 1,783.80
  4. Step 4: Simplify right side
    2,002.68x = 4,926,391.81
  5. Step 5: Solve for x
    x = 4,926,391.81/2,002.68
  6. Step 6: Final answer
    x = 2,459.90

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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.