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Finding the Fourth Proportional to 1,920.71, 2,881.06 and 1,271.30

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Solution

The fourth proportional to 1,920.71, 2,881.06 and 1,271.30 is: 1,906.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.71 : 2,881.06 = 1,271.30 : x
  2. Step 2: Convert to fraction form
    1,920.71/2,881.06 = 1,271.30/x
  3. Step 3: Cross multiply
    1,920.71x = 2,881.06 × 1,271.30
  4. Step 4: Simplify right side
    1,920.71x = 3,662,677.17
  5. Step 5: Solve for x
    x = 3,662,677.17/1,920.71
  6. Step 6: Final answer
    x = 1,906.94

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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.