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Finding the Fourth Proportional to 6,928.74, 9,563.94 and 5,515.02

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Solution

The fourth proportional to 6,928.74, 9,563.94 and 5,515.02 is: 7,612.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,928.74 : 9,563.94 = 5,515.02 : x
  2. Step 2: Convert to fraction form
    6,928.74/9,563.94 = 5,515.02/x
  3. Step 3: Cross multiply
    6,928.74x = 9,563.94 × 5,515.02
  4. Step 4: Simplify right side
    6,928.74x = 52,745,320.38
  5. Step 5: Solve for x
    x = 52,745,320.38/6,928.74
  6. Step 6: Final answer
    x = 7,612.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.