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Finding the Fourth Proportional to 7,692, 10,610.04 and 4,545.96

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Solution

The fourth proportional to 7,692, 10,610.04 and 4,545.96 is: 6,270.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692 : 10,610.04 = 4,545.96 : x
  2. Step 2: Convert to fraction form
    7,692/10,610.04 = 4,545.96/x
  3. Step 3: Cross multiply
    7,692x = 10,610.04 × 4,545.96
  4. Step 4: Simplify right side
    7,692x = 48,232,817.44
  5. Step 5: Solve for x
    x = 48,232,817.44/7,692
  6. Step 6: Final answer
    x = 6,270.52

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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.