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Finding the Fourth Proportional to 10,040.60, 13,856.49 and 5,564.36

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Solution

The fourth proportional to 10,040.60, 13,856.49 and 5,564.36 is: 7,679.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,040.60 : 13,856.49 = 5,564.36 : x
  2. Step 2: Convert to fraction form
    10,040.60/13,856.49 = 5,564.36/x
  3. Step 3: Cross multiply
    10,040.60x = 13,856.49 × 5,564.36
  4. Step 4: Simplify right side
    10,040.60x = 77,102,429.41
  5. Step 5: Solve for x
    x = 77,102,429.41/10,040.60
  6. Step 6: Final answer
    x = 7,679.07

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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.