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Finding the Fourth Proportional to 4,899.64, 6,760.86 and 3,012.20

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Solution

The fourth proportional to 4,899.64, 6,760.86 and 3,012.20 is: 4,156.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,899.64 : 6,760.86 = 3,012.20 : x
  2. Step 2: Convert to fraction form
    4,899.64/6,760.86 = 3,012.20/x
  3. Step 3: Cross multiply
    4,899.64x = 6,760.86 × 3,012.20
  4. Step 4: Simplify right side
    4,899.64x = 20,365,062.49
  5. Step 5: Solve for x
    x = 20,365,062.49/4,899.64
  6. Step 6: Final answer
    x = 4,156.44

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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.