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Finding the Fourth Proportional to 13,603.68, 20,388.60 and 6,206.16

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Solution

The fourth proportional to 13,603.68, 20,388.60 and 6,206.16 is: 9,301.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,603.68 : 20,388.60 = 6,206.16 : x
  2. Step 2: Convert to fraction form
    13,603.68/20,388.60 = 6,206.16/x
  3. Step 3: Cross multiply
    13,603.68x = 20,388.60 × 6,206.16
  4. Step 4: Simplify right side
    13,603.68x = 126,534,913.78
  5. Step 5: Solve for x
    x = 126,534,913.78/13,603.68
  6. Step 6: Final answer
    x = 9,301.52

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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.