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Finding the Fourth Proportional to 20,328.38, 30,495 and 7,178.06

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Solution

The fourth proportional to 20,328.38, 30,495 and 7,178.06 is: 10,767.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,328.38 : 30,495 = 7,178.06 : x
  2. Step 2: Convert to fraction form
    20,328.38/30,495 = 7,178.06/x
  3. Step 3: Cross multiply
    20,328.38x = 30,495 × 7,178.06
  4. Step 4: Simplify right side
    20,328.38x = 218,894,939.70
  5. Step 5: Solve for x
    x = 218,894,939.70/20,328.38
  6. Step 6: Final answer
    x = 10,767.95

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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.