Home / 10,602.20-15,914.34-7,832

Finding the Fourth Proportional to 10,602.20, 15,914.34 and 7,832

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Solution

The fourth proportional to 10,602.20, 15,914.34 and 7,832 is: 11,756.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.20 : 15,914.34 = 7,832 : x
  2. Step 2: Convert to fraction form
    10,602.20/15,914.34 = 7,832/x
  3. Step 3: Cross multiply
    10,602.20x = 15,914.34 × 7,832
  4. Step 4: Simplify right side
    10,602.20x = 124,641,110.88
  5. Step 5: Solve for x
    x = 124,641,110.88/10,602.20
  6. Step 6: Final answer
    x = 11,756.16

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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.