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Finding the Fourth Proportional to 10,540.88, 14,545.12 and 5,825.20

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Solution

The fourth proportional to 10,540.88, 14,545.12 and 5,825.20 is: 8,038.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,540.88 : 14,545.12 = 5,825.20 : x
  2. Step 2: Convert to fraction form
    10,540.88/14,545.12 = 5,825.20/x
  3. Step 3: Cross multiply
    10,540.88x = 14,545.12 × 5,825.20
  4. Step 4: Simplify right side
    10,540.88x = 84,728,233.02
  5. Step 5: Solve for x
    x = 84,728,233.02/10,540.88
  6. Step 6: Final answer
    x = 8,038.06

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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.