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Finding the Fourth Proportional to 8,516.00, 11,750.29 and 4,978.53

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Solution

The fourth proportional to 8,516.00, 11,750.29 and 4,978.53 is: 6,869.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,516.00 : 11,750.29 = 4,978.53 : x
  2. Step 2: Convert to fraction form
    8,516.00/11,750.29 = 4,978.53/x
  3. Step 3: Cross multiply
    8,516.00x = 11,750.29 × 4,978.53
  4. Step 4: Simplify right side
    8,516.00x = 58,499,158.83
  5. Step 5: Solve for x
    x = 58,499,158.83/8,516.00
  6. Step 6: Final answer
    x = 6,869.32

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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.