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Finding the Fourth Proportional to 2,829.47, 4,244.40 and 749.45

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Solution

The fourth proportional to 2,829.47, 4,244.40 and 749.45 is: 1,124.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829.47 : 4,244.40 = 749.45 : x
  2. Step 2: Convert to fraction form
    2,829.47/4,244.40 = 749.45/x
  3. Step 3: Cross multiply
    2,829.47x = 4,244.40 × 749.45
  4. Step 4: Simplify right side
    2,829.47x = 3,180,960.27
  5. Step 5: Solve for x
    x = 3,180,960.27/2,829.47
  6. Step 6: Final answer
    x = 1,124.22

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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.