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Finding the Fourth Proportional to 10,139.12, 13,992 and 6,161.64

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Solution

The fourth proportional to 10,139.12, 13,992 and 6,161.64 is: 8,503.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,139.12 : 13,992 = 6,161.64 : x
  2. Step 2: Convert to fraction form
    10,139.12/13,992 = 6,161.64/x
  3. Step 3: Cross multiply
    10,139.12x = 13,992 × 6,161.64
  4. Step 4: Simplify right side
    10,139.12x = 86,213,666.88
  5. Step 5: Solve for x
    x = 86,213,666.88/10,139.12
  6. Step 6: Final answer
    x = 8,503.07

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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.