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Finding the Fourth Proportional to 3,370.92, 5,054.13 and 1,290.63

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Solution

The fourth proportional to 3,370.92, 5,054.13 and 1,290.63 is: 1,935.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,370.92 : 5,054.13 = 1,290.63 : x
  2. Step 2: Convert to fraction form
    3,370.92/5,054.13 = 1,290.63/x
  3. Step 3: Cross multiply
    3,370.92x = 5,054.13 × 1,290.63
  4. Step 4: Simplify right side
    3,370.92x = 6,523,011.80
  5. Step 5: Solve for x
    x = 6,523,011.80/3,370.92
  6. Step 6: Final answer
    x = 1,935.08

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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.