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Finding the Fourth Proportional to 20,139.16, 30,164.94 and 9,729

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Solution

The fourth proportional to 20,139.16, 30,164.94 and 9,729 is: 14,572.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,139.16 : 30,164.94 = 9,729 : x
  2. Step 2: Convert to fraction form
    20,139.16/30,164.94 = 9,729/x
  3. Step 3: Cross multiply
    20,139.16x = 30,164.94 × 9,729
  4. Step 4: Simplify right side
    20,139.16x = 293,474,701.26
  5. Step 5: Solve for x
    x = 293,474,701.26/20,139.16
  6. Step 6: Final answer
    x = 14,572.34

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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.