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Finding the Fourth Proportional to 8,187, 11,299.02 and 4,875

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Solution

The fourth proportional to 8,187, 11,299.02 and 4,875 is: 6,728.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,187 : 11,299.02 = 4,875 : x
  2. Step 2: Convert to fraction form
    8,187/11,299.02 = 4,875/x
  3. Step 3: Cross multiply
    8,187x = 11,299.02 × 4,875
  4. Step 4: Simplify right side
    8,187x = 55,082,722.50
  5. Step 5: Solve for x
    x = 55,082,722.50/8,187
  6. Step 6: Final answer
    x = 6,728.07

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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.