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Finding the Fourth Proportional to 2,686.64, 3,700.94 and 2,287.02

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Solution

The fourth proportional to 2,686.64, 3,700.94 and 2,287.02 is: 3,150.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.64 : 3,700.94 = 2,287.02 : x
  2. Step 2: Convert to fraction form
    2,686.64/3,700.94 = 2,287.02/x
  3. Step 3: Cross multiply
    2,686.64x = 3,700.94 × 2,287.02
  4. Step 4: Simplify right side
    2,686.64x = 8,464,143.55
  5. Step 5: Solve for x
    x = 8,464,143.55/2,686.64
  6. Step 6: Final answer
    x = 3,150.46

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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.