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Finding the Fourth Proportional to 5,201.77, 7,805 and 2,830.57

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Solution

The fourth proportional to 5,201.77, 7,805 and 2,830.57 is: 4,247.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.77 : 7,805 = 2,830.57 : x
  2. Step 2: Convert to fraction form
    5,201.77/7,805 = 2,830.57/x
  3. Step 3: Cross multiply
    5,201.77x = 7,805 × 2,830.57
  4. Step 4: Simplify right side
    5,201.77x = 22,092,598.85
  5. Step 5: Solve for x
    x = 22,092,598.85/5,201.77
  6. Step 6: Final answer
    x = 4,247.13

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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.