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Finding the Fourth Proportional to 10,040, 13,856.40 and 5,564.48

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Solution

The fourth proportional to 10,040, 13,856.40 and 5,564.48 is: 7,679.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,040 : 13,856.40 = 5,564.48 : x
  2. Step 2: Convert to fraction form
    10,040/13,856.40 = 5,564.48/x
  3. Step 3: Cross multiply
    10,040x = 13,856.40 × 5,564.48
  4. Step 4: Simplify right side
    10,040x = 77,103,660.67
  5. Step 5: Solve for x
    x = 77,103,660.67/10,040
  6. Step 6: Final answer
    x = 7,679.65

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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.