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Finding the Fourth Proportional to 8,782.17, 13,163.13 and 4,878.78

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Solution

The fourth proportional to 8,782.17, 13,163.13 and 4,878.78 is: 7,312.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,782.17 : 13,163.13 = 4,878.78 : x
  2. Step 2: Convert to fraction form
    8,782.17/13,163.13 = 4,878.78/x
  3. Step 3: Cross multiply
    8,782.17x = 13,163.13 × 4,878.78
  4. Step 4: Simplify right side
    8,782.17x = 64,220,015.38
  5. Step 5: Solve for x
    x = 64,220,015.38/8,782.17
  6. Step 6: Final answer
    x = 7,312.55

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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.