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Finding the Fourth Proportional to 6,972.76, 9,618.78 and 5,647.96

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Solution

The fourth proportional to 6,972.76, 9,618.78 and 5,647.96 is: 7,791.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972.76 : 9,618.78 = 5,647.96 : x
  2. Step 2: Convert to fraction form
    6,972.76/9,618.78 = 5,647.96/x
  3. Step 3: Cross multiply
    6,972.76x = 9,618.78 × 5,647.96
  4. Step 4: Simplify right side
    6,972.76x = 54,326,484.69
  5. Step 5: Solve for x
    x = 54,326,484.69/6,972.76
  6. Step 6: Final answer
    x = 7,791.25

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1.5x scale

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.