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Finding the Fourth Proportional to 10,040.29, 13,855.18 and 5,564.23

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Solution

The fourth proportional to 10,040.29, 13,855.18 and 5,564.23 is: 7,678.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,040.29 : 13,855.18 = 5,564.23 : x
  2. Step 2: Convert to fraction form
    10,040.29/13,855.18 = 5,564.23/x
  3. Step 3: Cross multiply
    10,040.29x = 13,855.18 × 5,564.23
  4. Step 4: Simplify right side
    10,040.29x = 77,093,408.21
  5. Step 5: Solve for x
    x = 77,093,408.21/10,040.29
  6. Step 6: Final answer
    x = 7,678.40

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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.