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Finding the Fourth Proportional to 2,003.74, 3,005.61 and 1,897.12

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Solution

The fourth proportional to 2,003.74, 3,005.61 and 1,897.12 is: 2,845.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.74 : 3,005.61 = 1,897.12 : x
  2. Step 2: Convert to fraction form
    2,003.74/3,005.61 = 1,897.12/x
  3. Step 3: Cross multiply
    2,003.74x = 3,005.61 × 1,897.12
  4. Step 4: Simplify right side
    2,003.74x = 5,702,002.84
  5. Step 5: Solve for x
    x = 5,702,002.84/2,003.74
  6. Step 6: Final answer
    x = 2,845.68

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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.