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Finding the Fourth Proportional to 6,511.74, 8,976.87 and 4,645.50

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Solution

The fourth proportional to 6,511.74, 8,976.87 and 4,645.50 is: 6,404.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.74 : 8,976.87 = 4,645.50 : x
  2. Step 2: Convert to fraction form
    6,511.74/8,976.87 = 4,645.50/x
  3. Step 3: Cross multiply
    6,511.74x = 8,976.87 × 4,645.50
  4. Step 4: Simplify right side
    6,511.74x = 41,702,049.59
  5. Step 5: Solve for x
    x = 41,702,049.59/6,511.74
  6. Step 6: Final answer
    x = 6,404.13

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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.