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Finding the Fourth Proportional to 5,749.78, 7,930.14 and 3,730.98

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Solution

The fourth proportional to 5,749.78, 7,930.14 and 3,730.98 is: 5,145.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,749.78 : 7,930.14 = 3,730.98 : x
  2. Step 2: Convert to fraction form
    5,749.78/7,930.14 = 3,730.98/x
  3. Step 3: Cross multiply
    5,749.78x = 7,930.14 × 3,730.98
  4. Step 4: Simplify right side
    5,749.78x = 29,587,193.74
  5. Step 5: Solve for x
    x = 29,587,193.74/5,749.78
  6. Step 6: Final answer
    x = 5,145.80

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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.