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Finding the Fourth Proportional to 10,040.70, 13,856.27 and 5,564.54

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Solution

The fourth proportional to 10,040.70, 13,856.27 and 5,564.54 is: 7,679.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,040.70 : 13,856.27 = 5,564.54 : x
  2. Step 2: Convert to fraction form
    10,040.70/13,856.27 = 5,564.54/x
  3. Step 3: Cross multiply
    10,040.70x = 13,856.27 × 5,564.54
  4. Step 4: Simplify right side
    10,040.70x = 77,103,699.38
  5. Step 5: Solve for x
    x = 77,103,699.38/10,040.70
  6. Step 6: Final answer
    x = 7,679.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.