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Finding the Fourth Proportional to 6,511.78, 8,977.80 and 4,149.82

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Solution

The fourth proportional to 6,511.78, 8,977.80 and 4,149.82 is: 5,721.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.78 : 8,977.80 = 4,149.82 : x
  2. Step 2: Convert to fraction form
    6,511.78/8,977.80 = 4,149.82/x
  3. Step 3: Cross multiply
    6,511.78x = 8,977.80 × 4,149.82
  4. Step 4: Simplify right side
    6,511.78x = 37,256,254.00
  5. Step 5: Solve for x
    x = 37,256,254.00/6,511.78
  6. Step 6: Final answer
    x = 5,721.36

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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.