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Finding the Fourth Proportional to 11,800.78, 16,285.08 and 6,495.56

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Solution

The fourth proportional to 11,800.78, 16,285.08 and 6,495.56 is: 8,963.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,800.78 : 16,285.08 = 6,495.56 : x
  2. Step 2: Convert to fraction form
    11,800.78/16,285.08 = 6,495.56/x
  3. Step 3: Cross multiply
    11,800.78x = 16,285.08 × 6,495.56
  4. Step 4: Simplify right side
    11,800.78x = 105,780,600.34
  5. Step 5: Solve for x
    x = 105,780,600.34/11,800.78
  6. Step 6: Final answer
    x = 8,963.87

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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.