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Finding the Fourth Proportional to 6,505.83, 9,764.21 and 2,810.88

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Solution

The fourth proportional to 6,505.83, 9,764.21 and 2,810.88 is: 4,218.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.83 : 9,764.21 = 2,810.88 : x
  2. Step 2: Convert to fraction form
    6,505.83/9,764.21 = 2,810.88/x
  3. Step 3: Cross multiply
    6,505.83x = 9,764.21 × 2,810.88
  4. Step 4: Simplify right side
    6,505.83x = 27,446,029.63
  5. Step 5: Solve for x
    x = 27,446,029.63/6,505.83
  6. Step 6: Final answer
    x = 4,218.68

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1.5x scale

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.