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Finding the Fourth Proportional to 3,066.91, 4,599.35 and 986.42

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Solution

The fourth proportional to 3,066.91, 4,599.35 and 986.42 is: 1,479.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.91 : 4,599.35 = 986.42 : x
  2. Step 2: Convert to fraction form
    3,066.91/4,599.35 = 986.42/x
  3. Step 3: Cross multiply
    3,066.91x = 4,599.35 × 986.42
  4. Step 4: Simplify right side
    3,066.91x = 4,536,897.39
  5. Step 5: Solve for x
    x = 4,536,897.39/3,066.91
  6. Step 6: Final answer
    x = 1,479.31

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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.