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Finding the Fourth Proportional to 6,856.68, 10,285.50 and 3,393

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Solution

The fourth proportional to 6,856.68, 10,285.50 and 3,393 is: 5,089.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.68 : 10,285.50 = 3,393 : x
  2. Step 2: Convert to fraction form
    6,856.68/10,285.50 = 3,393/x
  3. Step 3: Cross multiply
    6,856.68x = 10,285.50 × 3,393
  4. Step 4: Simplify right side
    6,856.68x = 34,898,701.50
  5. Step 5: Solve for x
    x = 34,898,701.50/6,856.68
  6. Step 6: Final answer
    x = 5,089.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.