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Finding the Fourth Proportional to 2,829.68, 4,244.34 and 749.64

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Solution

The fourth proportional to 2,829.68, 4,244.34 and 749.64 is: 1,124.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829.68 : 4,244.34 = 749.64 : x
  2. Step 2: Convert to fraction form
    2,829.68/4,244.34 = 749.64/x
  3. Step 3: Cross multiply
    2,829.68x = 4,244.34 × 749.64
  4. Step 4: Simplify right side
    2,829.68x = 3,181,734.53
  5. Step 5: Solve for x
    x = 3,181,734.53/2,829.68
  6. Step 6: Final answer
    x = 1,124.41

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1.5x scale

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.