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Finding the Fourth Proportional to 3,056.64, 4,218.16 and 1,659.38

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Solution

The fourth proportional to 3,056.64, 4,218.16 and 1,659.38 is: 2,289.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,056.64 : 4,218.16 = 1,659.38 : x
  2. Step 2: Convert to fraction form
    3,056.64/4,218.16 = 1,659.38/x
  3. Step 3: Cross multiply
    3,056.64x = 4,218.16 × 1,659.38
  4. Step 4: Simplify right side
    3,056.64x = 6,999,530.34
  5. Step 5: Solve for x
    x = 6,999,530.34/3,056.64
  6. Step 6: Final answer
    x = 2,289.94

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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.