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Finding the Fourth Proportional to 10,918.74, 16,391.82 and 9,092.22

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Solution

The fourth proportional to 10,918.74, 16,391.82 and 9,092.22 is: 13,649.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,918.74 : 16,391.82 = 9,092.22 : x
  2. Step 2: Convert to fraction form
    10,918.74/16,391.82 = 9,092.22/x
  3. Step 3: Cross multiply
    10,918.74x = 16,391.82 × 9,092.22
  4. Step 4: Simplify right side
    10,918.74x = 149,038,033.64
  5. Step 5: Solve for x
    x = 149,038,033.64/10,918.74
  6. Step 6: Final answer
    x = 13,649.75

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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.