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Finding the Fourth Proportional to 10,045.43, 13,863.39 and 5,569.60

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Solution

The fourth proportional to 10,045.43, 13,863.39 and 5,569.60 is: 7,686.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,045.43 : 13,863.39 = 5,569.60 : x
  2. Step 2: Convert to fraction form
    10,045.43/13,863.39 = 5,569.60/x
  3. Step 3: Cross multiply
    10,045.43x = 13,863.39 × 5,569.60
  4. Step 4: Simplify right side
    10,045.43x = 77,213,536.94
  5. Step 5: Solve for x
    x = 77,213,536.94/10,045.43
  6. Step 6: Final answer
    x = 7,686.43

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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.