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Finding the Fourth Proportional to 2,003.68, 2,750.36 and 1,777.69

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Solution

The fourth proportional to 2,003.68, 2,750.36 and 1,777.69 is: 2,440.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.68 : 2,750.36 = 1,777.69 : x
  2. Step 2: Convert to fraction form
    2,003.68/2,750.36 = 1,777.69/x
  3. Step 3: Cross multiply
    2,003.68x = 2,750.36 × 1,777.69
  4. Step 4: Simplify right side
    2,003.68x = 4,889,287.47
  5. Step 5: Solve for x
    x = 4,889,287.47/2,003.68
  6. Step 6: Final answer
    x = 2,440.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.