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Finding the Fourth Proportional to 10,040.93, 13,856.60 and 5,564.76

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Solution

The fourth proportional to 10,040.93, 13,856.60 and 5,564.76 is: 7,679.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,040.93 : 13,856.60 = 5,564.76 : x
  2. Step 2: Convert to fraction form
    10,040.93/13,856.60 = 5,564.76/x
  3. Step 3: Cross multiply
    10,040.93x = 13,856.60 × 5,564.76
  4. Step 4: Simplify right side
    10,040.93x = 77,108,584.13
  5. Step 5: Solve for x
    x = 77,108,584.13/10,040.93
  6. Step 6: Final answer
    x = 7,679.43

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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.