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Finding the Fourth Proportional to 11,750.78, 16,217.12 and 6,446.63

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Solution

The fourth proportional to 11,750.78, 16,217.12 and 6,446.63 is: 8,896.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,750.78 : 16,217.12 = 6,446.63 : x
  2. Step 2: Convert to fraction form
    11,750.78/16,217.12 = 6,446.63/x
  3. Step 3: Cross multiply
    11,750.78x = 16,217.12 × 6,446.63
  4. Step 4: Simplify right side
    11,750.78x = 104,545,740.07
  5. Step 5: Solve for x
    x = 104,545,740.07/11,750.78
  6. Step 6: Final answer
    x = 8,896.92

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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.