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Finding the Fourth Proportional to 1,964.49, 2,948.18 and 990.66

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Solution

The fourth proportional to 1,964.49, 2,948.18 and 990.66 is: 1,486.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.49 : 2,948.18 = 990.66 : x
  2. Step 2: Convert to fraction form
    1,964.49/2,948.18 = 990.66/x
  3. Step 3: Cross multiply
    1,964.49x = 2,948.18 × 990.66
  4. Step 4: Simplify right side
    1,964.49x = 2,920,639.05
  5. Step 5: Solve for x
    x = 2,920,639.05/1,964.49
  6. Step 6: Final answer
    x = 1,486.72

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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.