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Finding the Fourth Proportional to 10,021.93, 13,830.29 and 5,545.99

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Solution

The fourth proportional to 10,021.93, 13,830.29 and 5,545.99 is: 7,653.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,021.93 : 13,830.29 = 5,545.99 : x
  2. Step 2: Convert to fraction form
    10,021.93/13,830.29 = 5,545.99/x
  3. Step 3: Cross multiply
    10,021.93x = 13,830.29 × 5,545.99
  4. Step 4: Simplify right side
    10,021.93x = 76,702,650.04
  5. Step 5: Solve for x
    x = 76,702,650.04/10,021.93
  6. Step 6: Final answer
    x = 7,653.48

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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.