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Finding the Fourth Proportional to 7,761.68, 11,623.08 and 5,156.72

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Solution

The fourth proportional to 7,761.68, 11,623.08 and 5,156.72 is: 7,722.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.68 : 11,623.08 = 5,156.72 : x
  2. Step 2: Convert to fraction form
    7,761.68/11,623.08 = 5,156.72/x
  3. Step 3: Cross multiply
    7,761.68x = 11,623.08 × 5,156.72
  4. Step 4: Simplify right side
    7,761.68x = 59,936,969.10
  5. Step 5: Solve for x
    x = 59,936,969.10/7,761.68
  6. Step 6: Final answer
    x = 7,722.16

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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.