Home / 11,577.28-15,966-7,803.52

Finding the Fourth Proportional to 11,577.28, 15,966 and 7,803.52

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Solution

The fourth proportional to 11,577.28, 15,966 and 7,803.52 is: 10,761.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,577.28 : 15,966 = 7,803.52 : x
  2. Step 2: Convert to fraction form
    11,577.28/15,966 = 7,803.52/x
  3. Step 3: Cross multiply
    11,577.28x = 15,966 × 7,803.52
  4. Step 4: Simplify right side
    11,577.28x = 124,591,000.32
  5. Step 5: Solve for x
    x = 124,591,000.32/11,577.28
  6. Step 6: Final answer
    x = 10,761.68

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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.