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Finding the Fourth Proportional to 20,165.63, 30,248.44 and 9,603.63

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Solution

The fourth proportional to 20,165.63, 30,248.44 and 9,603.63 is: 14,405.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,165.63 : 30,248.44 = 9,603.63 : x
  2. Step 2: Convert to fraction form
    20,165.63/30,248.44 = 9,603.63/x
  3. Step 3: Cross multiply
    20,165.63x = 30,248.44 × 9,603.63
  4. Step 4: Simplify right side
    20,165.63x = 290,494,753.60
  5. Step 5: Solve for x
    x = 290,494,753.60/20,165.63
  6. Step 6: Final answer
    x = 14,405.44

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1.5x scale

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.