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Finding the Fourth Proportional to 2,053.81, 3,081.01 and 666.71

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Solution

The fourth proportional to 2,053.81, 3,081.01 and 666.71 is: 1,000.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.81 : 3,081.01 = 666.71 : x
  2. Step 2: Convert to fraction form
    2,053.81/3,081.01 = 666.71/x
  3. Step 3: Cross multiply
    2,053.81x = 3,081.01 × 666.71
  4. Step 4: Simplify right side
    2,053.81x = 2,054,129.12
  5. Step 5: Solve for x
    x = 2,054,129.12/2,053.81
  6. Step 6: Final answer
    x = 1,000.15

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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.