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Finding the Fourth Proportional to 5,201.49, 7,830.36 and 4,749.51

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Solution

The fourth proportional to 5,201.49, 7,830.36 and 4,749.51 is: 7,149.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.49 : 7,830.36 = 4,749.51 : x
  2. Step 2: Convert to fraction form
    5,201.49/7,830.36 = 4,749.51/x
  3. Step 3: Cross multiply
    5,201.49x = 7,830.36 × 4,749.51
  4. Step 4: Simplify right side
    5,201.49x = 37,190,373.12
  5. Step 5: Solve for x
    x = 37,190,373.12/5,201.49
  6. Step 6: Final answer
    x = 7,149.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.