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Finding the Fourth Proportional to 5,113.13, 7,682.67 and 4,769.15

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Solution

The fourth proportional to 5,113.13, 7,682.67 and 4,769.15 is: 7,165.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113.13 : 7,682.67 = 4,769.15 : x
  2. Step 2: Convert to fraction form
    5,113.13/7,682.67 = 4,769.15/x
  3. Step 3: Cross multiply
    5,113.13x = 7,682.67 × 4,769.15
  4. Step 4: Simplify right side
    5,113.13x = 36,639,805.63
  5. Step 5: Solve for x
    x = 36,639,805.63/5,113.13
  6. Step 6: Final answer
    x = 7,165.83

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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.