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Finding the Fourth Proportional to 6,826.59, 9,420.93 and 4,138.68

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Solution

The fourth proportional to 6,826.59, 9,420.93 and 4,138.68 is: 5,711.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,826.59 : 9,420.93 = 4,138.68 : x
  2. Step 2: Convert to fraction form
    6,826.59/9,420.93 = 4,138.68/x
  3. Step 3: Cross multiply
    6,826.59x = 9,420.93 × 4,138.68
  4. Step 4: Simplify right side
    6,826.59x = 38,990,214.57
  5. Step 5: Solve for x
    x = 38,990,214.57/6,826.59
  6. Step 6: Final answer
    x = 5,711.52

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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.