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Finding the Fourth Proportional to 7,895.78, 10,896.02 and 4,493.40

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Solution

The fourth proportional to 7,895.78, 10,896.02 and 4,493.40 is: 6,200.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,895.78 : 10,896.02 = 4,493.40 : x
  2. Step 2: Convert to fraction form
    7,895.78/10,896.02 = 4,493.40/x
  3. Step 3: Cross multiply
    7,895.78x = 10,896.02 × 4,493.40
  4. Step 4: Simplify right side
    7,895.78x = 48,960,176.27
  5. Step 5: Solve for x
    x = 48,960,176.27/7,895.78
  6. Step 6: Final answer
    x = 6,200.80

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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.