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Finding the Fourth Proportional to 7,773.40, 11,655.83 and 5,311

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Solution

The fourth proportional to 7,773.40, 11,655.83 and 5,311 is: 7,963.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.40 : 11,655.83 = 5,311 : x
  2. Step 2: Convert to fraction form
    7,773.40/11,655.83 = 5,311/x
  3. Step 3: Cross multiply
    7,773.40x = 11,655.83 × 5,311
  4. Step 4: Simplify right side
    7,773.40x = 61,904,086.58
  5. Step 5: Solve for x
    x = 61,904,086.58/7,773.40
  6. Step 6: Final answer
    x = 7,963.58

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1.5x scale

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.