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Finding the Fourth Proportional to 3,056.75, 4,218.32 and 1,659.50

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Solution

The fourth proportional to 3,056.75, 4,218.32 and 1,659.50 is: 2,290.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,056.75 : 4,218.32 = 1,659.50 : x
  2. Step 2: Convert to fraction form
    3,056.75/4,218.32 = 1,659.50/x
  3. Step 3: Cross multiply
    3,056.75x = 4,218.32 × 1,659.50
  4. Step 4: Simplify right side
    3,056.75x = 7,000,302.04
  5. Step 5: Solve for x
    x = 7,000,302.04/3,056.75
  6. Step 6: Final answer
    x = 2,290.11

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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.