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Finding the Fourth Proportional to 4,643.56, 6,407.78 and 2,654.20

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Solution

The fourth proportional to 4,643.56, 6,407.78 and 2,654.20 is: 3,662.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.56 : 6,407.78 = 2,654.20 : x
  2. Step 2: Convert to fraction form
    4,643.56/6,407.78 = 2,654.20/x
  3. Step 3: Cross multiply
    4,643.56x = 6,407.78 × 2,654.20
  4. Step 4: Simplify right side
    4,643.56x = 17,007,529.68
  5. Step 5: Solve for x
    x = 17,007,529.68/4,643.56
  6. Step 6: Final answer
    x = 3,662.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.