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Finding the Fourth Proportional to 10,092, 13,928.80 and 9,649.20

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Solution

The fourth proportional to 10,092, 13,928.80 and 9,649.20 is: 13,317.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,092 : 13,928.80 = 9,649.20 : x
  2. Step 2: Convert to fraction form
    10,092/13,928.80 = 9,649.20/x
  3. Step 3: Cross multiply
    10,092x = 13,928.80 × 9,649.20
  4. Step 4: Simplify right side
    10,092x = 134,401,776.96
  5. Step 5: Solve for x
    x = 134,401,776.96/10,092
  6. Step 6: Final answer
    x = 13,317.66

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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.