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Finding the Fourth Proportional to 13,785, 18,996 and 9,799.20

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Solution

The fourth proportional to 13,785, 18,996 and 9,799.20 is: 13,503.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,785 : 18,996 = 9,799.20 : x
  2. Step 2: Convert to fraction form
    13,785/18,996 = 9,799.20/x
  3. Step 3: Cross multiply
    13,785x = 18,996 × 9,799.20
  4. Step 4: Simplify right side
    13,785x = 186,145,603.20
  5. Step 5: Solve for x
    x = 186,145,603.20/13,785
  6. Step 6: Final answer
    x = 13,503.49

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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.