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Finding the Fourth Proportional to 7,807.28, 10,774.31 and 4,270.49

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Solution

The fourth proportional to 7,807.28, 10,774.31 and 4,270.49 is: 5,893.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.28 : 10,774.31 = 4,270.49 : x
  2. Step 2: Convert to fraction form
    7,807.28/10,774.31 = 4,270.49/x
  3. Step 3: Cross multiply
    7,807.28x = 10,774.31 × 4,270.49
  4. Step 4: Simplify right side
    7,807.28x = 46,011,588.70
  5. Step 5: Solve for x
    x = 46,011,588.70/7,807.28
  6. Step 6: Final answer
    x = 5,893.42

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