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Finding the Fourth Proportional to 4,608.66, 6,912.99 and 1,686.29

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Solution

The fourth proportional to 4,608.66, 6,912.99 and 1,686.29 is: 2,529.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,608.66 : 6,912.99 = 1,686.29 : x
  2. Step 2: Convert to fraction form
    4,608.66/6,912.99 = 1,686.29/x
  3. Step 3: Cross multiply
    4,608.66x = 6,912.99 × 1,686.29
  4. Step 4: Simplify right side
    4,608.66x = 11,657,323.19
  5. Step 5: Solve for x
    x = 11,657,323.19/4,608.66
  6. Step 6: Final answer
    x = 2,529.44

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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.