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Finding the Fourth Proportional to 2,008.74, 2,772.10 and 1,212.11

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Solution

The fourth proportional to 2,008.74, 2,772.10 and 1,212.11 is: 1,672.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.74 : 2,772.10 = 1,212.11 : x
  2. Step 2: Convert to fraction form
    2,008.74/2,772.10 = 1,212.11/x
  3. Step 3: Cross multiply
    2,008.74x = 2,772.10 × 1,212.11
  4. Step 4: Simplify right side
    2,008.74x = 3,360,090.13
  5. Step 5: Solve for x
    x = 3,360,090.13/2,008.74
  6. Step 6: Final answer
    x = 1,672.74

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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.