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Finding the Fourth Proportional to 4,750.80, 7,126.49 and 1,829.10

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Solution

The fourth proportional to 4,750.80, 7,126.49 and 1,829.10 is: 2,743.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,750.80 : 7,126.49 = 1,829.10 : x
  2. Step 2: Convert to fraction form
    4,750.80/7,126.49 = 1,829.10/x
  3. Step 3: Cross multiply
    4,750.80x = 7,126.49 × 1,829.10
  4. Step 4: Simplify right side
    4,750.80x = 13,035,062.86
  5. Step 5: Solve for x
    x = 13,035,062.86/4,750.80
  6. Step 6: Final answer
    x = 2,743.76

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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.