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Finding the Fourth Proportional to 3,285.74, 4,927.24 and 1,640.32

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Solution

The fourth proportional to 3,285.74, 4,927.24 and 1,640.32 is: 2,459.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,285.74 : 4,927.24 = 1,640.32 : x
  2. Step 2: Convert to fraction form
    3,285.74/4,927.24 = 1,640.32/x
  3. Step 3: Cross multiply
    3,285.74x = 4,927.24 × 1,640.32
  4. Step 4: Simplify right side
    3,285.74x = 8,082,250.32
  5. Step 5: Solve for x
    x = 8,082,250.32/3,285.74
  6. Step 6: Final answer
    x = 2,459.80

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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.