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Finding the Fourth Proportional to 10,605.50, 14,649.38 and 8,072.24

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Solution

The fourth proportional to 10,605.50, 14,649.38 and 8,072.24 is: 11,150.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.50 : 14,649.38 = 8,072.24 : x
  2. Step 2: Convert to fraction form
    10,605.50/14,649.38 = 8,072.24/x
  3. Step 3: Cross multiply
    10,605.50x = 14,649.38 × 8,072.24
  4. Step 4: Simplify right side
    10,605.50x = 118,253,311.21
  5. Step 5: Solve for x
    x = 118,253,311.21/10,605.50
  6. Step 6: Final answer
    x = 11,150.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.