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Finding the Fourth Proportional to 6,490.98, 9,736.46 and 1,810.80

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Solution

The fourth proportional to 6,490.98, 9,736.46 and 1,810.80 is: 2,716.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.98 : 9,736.46 = 1,810.80 : x
  2. Step 2: Convert to fraction form
    6,490.98/9,736.46 = 1,810.80/x
  3. Step 3: Cross multiply
    6,490.98x = 9,736.46 × 1,810.80
  4. Step 4: Simplify right side
    6,490.98x = 17,630,781.77
  5. Step 5: Solve for x
    x = 17,630,781.77/6,490.98
  6. Step 6: Final answer
    x = 2,716.20

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Similar ratio
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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.