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Finding the Fourth Proportional to 5,113.48, 7,680.47 and 4,945.35

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Solution

The fourth proportional to 5,113.48, 7,680.47 and 4,945.35 is: 7,427.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113.48 : 7,680.47 = 4,945.35 : x
  2. Step 2: Convert to fraction form
    5,113.48/7,680.47 = 4,945.35/x
  3. Step 3: Cross multiply
    5,113.48x = 7,680.47 × 4,945.35
  4. Step 4: Simplify right side
    5,113.48x = 37,982,644.21
  5. Step 5: Solve for x
    x = 37,982,644.21/5,113.48
  6. Step 6: Final answer
    x = 7,427.95

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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.