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Finding the Fourth Proportional to 1,806.78, 2,487.79 and 1,540.63

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Solution

The fourth proportional to 1,806.78, 2,487.79 and 1,540.63 is: 2,121.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.78 : 2,487.79 = 1,540.63 : x
  2. Step 2: Convert to fraction form
    1,806.78/2,487.79 = 1,540.63/x
  3. Step 3: Cross multiply
    1,806.78x = 2,487.79 × 1,540.63
  4. Step 4: Simplify right side
    1,806.78x = 3,832,763.91
  5. Step 5: Solve for x
    x = 3,832,763.91/1,806.78
  6. Step 6: Final answer
    x = 2,121.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.