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Finding the Fourth Proportional to 8,900.50, 12,283.77 and 5,174.50

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Solution

The fourth proportional to 8,900.50, 12,283.77 and 5,174.50 is: 7,141.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,900.50 : 12,283.77 = 5,174.50 : x
  2. Step 2: Convert to fraction form
    8,900.50/12,283.77 = 5,174.50/x
  3. Step 3: Cross multiply
    8,900.50x = 12,283.77 × 5,174.50
  4. Step 4: Simplify right side
    8,900.50x = 63,562,367.87
  5. Step 5: Solve for x
    x = 63,562,367.87/8,900.50
  6. Step 6: Final answer
    x = 7,141.44

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1.5x scale

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.