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Finding the Fourth Proportional to 10,164.30, 15,234.30 and 5,231.40

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Solution

The fourth proportional to 10,164.30, 15,234.30 and 5,231.40 is: 7,840.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,164.30 : 15,234.30 = 5,231.40 : x
  2. Step 2: Convert to fraction form
    10,164.30/15,234.30 = 5,231.40/x
  3. Step 3: Cross multiply
    10,164.30x = 15,234.30 × 5,231.40
  4. Step 4: Simplify right side
    10,164.30x = 79,696,717.02
  5. Step 5: Solve for x
    x = 79,696,717.02/10,164.30
  6. Step 6: Final answer
    x = 7,840.85

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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.