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Finding the Fourth Proportional to 8,203.50, 11,320.83 and 4,477.50

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Solution

The fourth proportional to 8,203.50, 11,320.83 and 4,477.50 is: 6,178.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.50 : 11,320.83 = 4,477.50 : x
  2. Step 2: Convert to fraction form
    8,203.50/11,320.83 = 4,477.50/x
  3. Step 3: Cross multiply
    8,203.50x = 11,320.83 × 4,477.50
  4. Step 4: Simplify right side
    8,203.50x = 50,689,016.33
  5. Step 5: Solve for x
    x = 50,689,016.33/8,203.50
  6. Step 6: Final answer
    x = 6,178.95

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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.