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Finding the Fourth Proportional to 3,809.70, 5,254.55 and 2,689.47

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Solution

The fourth proportional to 3,809.70, 5,254.55 and 2,689.47 is: 3,709.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.70 : 5,254.55 = 2,689.47 : x
  2. Step 2: Convert to fraction form
    3,809.70/5,254.55 = 2,689.47/x
  3. Step 3: Cross multiply
    3,809.70x = 5,254.55 × 2,689.47
  4. Step 4: Simplify right side
    3,809.70x = 14,131,928.32
  5. Step 5: Solve for x
    x = 14,131,928.32/3,809.70
  6. Step 6: Final answer
    x = 3,709.46

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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.