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Finding the Fourth Proportional to 3,285.98, 4,924.87 and 1,643.00

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Solution

The fourth proportional to 3,285.98, 4,924.87 and 1,643.00 is: 2,462.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,285.98 : 4,924.87 = 1,643.00 : x
  2. Step 2: Convert to fraction form
    3,285.98/4,924.87 = 1,643.00/x
  3. Step 3: Cross multiply
    3,285.98x = 4,924.87 × 1,643.00
  4. Step 4: Simplify right side
    3,285.98x = 8,091,551.15
  5. Step 5: Solve for x
    x = 8,091,551.15/3,285.98
  6. Step 6: Final answer
    x = 2,462.45

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Half scale
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Double scale
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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.