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Finding the Fourth Proportional to 7,761.76, 11,646.06 and 4,429.87

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Solution

The fourth proportional to 7,761.76, 11,646.06 and 4,429.87 is: 6,646.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.76 : 11,646.06 = 4,429.87 : x
  2. Step 2: Convert to fraction form
    7,761.76/11,646.06 = 4,429.87/x
  3. Step 3: Cross multiply
    7,761.76x = 11,646.06 × 4,429.87
  4. Step 4: Simplify right side
    7,761.76x = 51,590,531.81
  5. Step 5: Solve for x
    x = 51,590,531.81/7,761.76
  6. Step 6: Final answer
    x = 6,646.76

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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.