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Finding the Fourth Proportional to 2,066.49, 3,099.75 and 970.29

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Solution

The fourth proportional to 2,066.49, 3,099.75 and 970.29 is: 1,455.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.49 : 3,099.75 = 970.29 : x
  2. Step 2: Convert to fraction form
    2,066.49/3,099.75 = 970.29/x
  3. Step 3: Cross multiply
    2,066.49x = 3,099.75 × 970.29
  4. Step 4: Simplify right side
    2,066.49x = 3,007,656.43
  5. Step 5: Solve for x
    x = 3,007,656.43/2,066.49
  6. Step 6: Final answer
    x = 1,455.44

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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.