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Finding the Fourth Proportional to 1,805.28, 2,706 and 1,290.72

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Solution

The fourth proportional to 1,805.28, 2,706 and 1,290.72 is: 1,934.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.28 : 2,706 = 1,290.72 : x
  2. Step 2: Convert to fraction form
    1,805.28/2,706 = 1,290.72/x
  3. Step 3: Cross multiply
    1,805.28x = 2,706 × 1,290.72
  4. Step 4: Simplify right side
    1,805.28x = 3,492,688.32
  5. Step 5: Solve for x
    x = 3,492,688.32/1,805.28
  6. Step 6: Final answer
    x = 1,934.71

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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.