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Finding the Fourth Proportional to 13,509.70, 20,258.06 and 6,388.02

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Solution

The fourth proportional to 13,509.70, 20,258.06 and 6,388.02 is: 9,578.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509.70 : 20,258.06 = 6,388.02 : x
  2. Step 2: Convert to fraction form
    13,509.70/20,258.06 = 6,388.02/x
  3. Step 3: Cross multiply
    13,509.70x = 20,258.06 × 6,388.02
  4. Step 4: Simplify right side
    13,509.70x = 129,408,892.44
  5. Step 5: Solve for x
    x = 129,408,892.44/13,509.70
  6. Step 6: Final answer
    x = 9,578.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.