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Finding the Fourth Proportional to 10,365, 15,547.44 and 3,791.64

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Solution

The fourth proportional to 10,365, 15,547.44 and 3,791.64 is: 5,687.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365 : 15,547.44 = 3,791.64 : x
  2. Step 2: Convert to fraction form
    10,365/15,547.44 = 3,791.64/x
  3. Step 3: Cross multiply
    10,365x = 15,547.44 × 3,791.64
  4. Step 4: Simplify right side
    10,365x = 58,950,295.40
  5. Step 5: Solve for x
    x = 58,950,295.40/10,365
  6. Step 6: Final answer
    x = 5,687.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.