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Finding the Fourth Proportional to 1,990.78, 2,990.76 and 1,252.69

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Solution

The fourth proportional to 1,990.78, 2,990.76 and 1,252.69 is: 1,881.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.78 : 2,990.76 = 1,252.69 : x
  2. Step 2: Convert to fraction form
    1,990.78/2,990.76 = 1,252.69/x
  3. Step 3: Cross multiply
    1,990.78x = 2,990.76 × 1,252.69
  4. Step 4: Simplify right side
    1,990.78x = 3,746,495.14
  5. Step 5: Solve for x
    x = 3,746,495.14/1,990.78
  6. Step 6: Final answer
    x = 1,881.92

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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.