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Finding the Fourth Proportional to 3,086.64, 4,259.64 and 1,689.40

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Solution

The fourth proportional to 3,086.64, 4,259.64 and 1,689.40 is: 2,331.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.64 : 4,259.64 = 1,689.40 : x
  2. Step 2: Convert to fraction form
    3,086.64/4,259.64 = 1,689.40/x
  3. Step 3: Cross multiply
    3,086.64x = 4,259.64 × 1,689.40
  4. Step 4: Simplify right side
    3,086.64x = 7,196,235.82
  5. Step 5: Solve for x
    x = 7,196,235.82/3,086.64
  6. Step 6: Final answer
    x = 2,331.41

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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.