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Finding the Fourth Proportional to 15,400.50, 23,101.83 and 6,166.50

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Solution

The fourth proportional to 15,400.50, 23,101.83 and 6,166.50 is: 9,250.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,400.50 : 23,101.83 = 6,166.50 : x
  2. Step 2: Convert to fraction form
    15,400.50/23,101.83 = 6,166.50/x
  3. Step 3: Cross multiply
    15,400.50x = 23,101.83 × 6,166.50
  4. Step 4: Simplify right side
    15,400.50x = 142,457,434.70
  5. Step 5: Solve for x
    x = 142,457,434.70/15,400.50
  6. Step 6: Final answer
    x = 9,250.18

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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.