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Finding the Fourth Proportional to 7,773.64, 11,665.18 and 3,156.52

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Solution

The fourth proportional to 7,773.64, 11,665.18 and 3,156.52 is: 4,736.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.64 : 11,665.18 = 3,156.52 : x
  2. Step 2: Convert to fraction form
    7,773.64/11,665.18 = 3,156.52/x
  3. Step 3: Cross multiply
    7,773.64x = 11,665.18 × 3,156.52
  4. Step 4: Simplify right side
    7,773.64x = 36,821,373.97
  5. Step 5: Solve for x
    x = 36,821,373.97/7,773.64
  6. Step 6: Final answer
    x = 4,736.70

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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.