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Finding the Fourth Proportional to 3,122.64, 4,310.10 and 1,864.56

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Solution

The fourth proportional to 3,122.64, 4,310.10 and 1,864.56 is: 2,573.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.64 : 4,310.10 = 1,864.56 : x
  2. Step 2: Convert to fraction form
    3,122.64/4,310.10 = 1,864.56/x
  3. Step 3: Cross multiply
    3,122.64x = 4,310.10 × 1,864.56
  4. Step 4: Simplify right side
    3,122.64x = 8,036,440.06
  5. Step 5: Solve for x
    x = 8,036,440.06/3,122.64
  6. Step 6: Final answer
    x = 2,573.60

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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.