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Finding the Fourth Proportional to 20,165.65, 30,207.30 and 9,603.70

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Solution

The fourth proportional to 20,165.65, 30,207.30 and 9,603.70 is: 14,385.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,165.65 : 30,207.30 = 9,603.70 : x
  2. Step 2: Convert to fraction form
    20,165.65/30,207.30 = 9,603.70/x
  3. Step 3: Cross multiply
    20,165.65x = 30,207.30 × 9,603.70
  4. Step 4: Simplify right side
    20,165.65x = 290,101,847.01
  5. Step 5: Solve for x
    x = 290,101,847.01/20,165.65
  6. Step 6: Final answer
    x = 14,385.94

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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.