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Finding the Fourth Proportional to 3,449.49, 4,748.28 and 3,006.63

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Solution

The fourth proportional to 3,449.49, 4,748.28 and 3,006.63 is: 4,138.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.49 : 4,748.28 = 3,006.63 : x
  2. Step 2: Convert to fraction form
    3,449.49/4,748.28 = 3,006.63/x
  3. Step 3: Cross multiply
    3,449.49x = 4,748.28 × 3,006.63
  4. Step 4: Simplify right side
    3,449.49x = 14,276,321.10
  5. Step 5: Solve for x
    x = 14,276,321.10/3,449.49
  6. Step 6: Final answer
    x = 4,138.68

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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.