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Finding the Fourth Proportional to 5,402.80, 8,047.38 and 5,150

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Solution

The fourth proportional to 5,402.80, 8,047.38 and 5,150 is: 7,670.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.80 : 8,047.38 = 5,150 : x
  2. Step 2: Convert to fraction form
    5,402.80/8,047.38 = 5,150/x
  3. Step 3: Cross multiply
    5,402.80x = 8,047.38 × 5,150
  4. Step 4: Simplify right side
    5,402.80x = 41,444,007
  5. Step 5: Solve for x
    x = 41,444,007/5,402.80
  6. Step 6: Final answer
    x = 7,670.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.