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Finding the Fourth Proportional to 8,813.50, 12,162.64 and 5,087.50

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Solution

The fourth proportional to 8,813.50, 12,162.64 and 5,087.50 is: 7,020.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,813.50 : 12,162.64 = 5,087.50 : x
  2. Step 2: Convert to fraction form
    8,813.50/12,162.64 = 5,087.50/x
  3. Step 3: Cross multiply
    8,813.50x = 12,162.64 × 5,087.50
  4. Step 4: Simplify right side
    8,813.50x = 61,877,431
  5. Step 5: Solve for x
    x = 61,877,431/8,813.50
  6. Step 6: Final answer
    x = 7,020.76

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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.