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Finding the Fourth Proportional to 8,552, 11,801.76 and 4,826.24

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Solution

The fourth proportional to 8,552, 11,801.76 and 4,826.24 is: 6,660.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,552 : 11,801.76 = 4,826.24 : x
  2. Step 2: Convert to fraction form
    8,552/11,801.76 = 4,826.24/x
  3. Step 3: Cross multiply
    8,552x = 11,801.76 × 4,826.24
  4. Step 4: Simplify right side
    8,552x = 56,958,126.18
  5. Step 5: Solve for x
    x = 56,958,126.18/8,552
  6. Step 6: Final answer
    x = 6,660.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.