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Finding the Fourth Proportional to 7,761.76, 11,644.96 and 4,477.28

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Solution

The fourth proportional to 7,761.76, 11,644.96 and 4,477.28 is: 6,717.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.76 : 11,644.96 = 4,477.28 : x
  2. Step 2: Convert to fraction form
    7,761.76/11,644.96 = 4,477.28/x
  3. Step 3: Cross multiply
    7,761.76x = 11,644.96 × 4,477.28
  4. Step 4: Simplify right side
    7,761.76x = 52,137,746.51
  5. Step 5: Solve for x
    x = 52,137,746.51/7,761.76
  6. Step 6: Final answer
    x = 6,717.26

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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.