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Finding the Fourth Proportional to 3,066.35, 4,231.71 and 1,807.46

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Solution

The fourth proportional to 3,066.35, 4,231.71 and 1,807.46 is: 2,494.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.35 : 4,231.71 = 1,807.46 : x
  2. Step 2: Convert to fraction form
    3,066.35/4,231.71 = 1,807.46/x
  3. Step 3: Cross multiply
    3,066.35x = 4,231.71 × 1,807.46
  4. Step 4: Simplify right side
    3,066.35x = 7,648,637.52
  5. Step 5: Solve for x
    x = 7,648,637.52/3,066.35
  6. Step 6: Final answer
    x = 2,494.38

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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.