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Finding the Fourth Proportional to 2,690.89, 3,709.20 and 2,464.90

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Solution

The fourth proportional to 2,690.89, 3,709.20 and 2,464.90 is: 3,397.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.89 : 3,709.20 = 2,464.90 : x
  2. Step 2: Convert to fraction form
    2,690.89/3,709.20 = 2,464.90/x
  3. Step 3: Cross multiply
    2,690.89x = 3,709.20 × 2,464.90
  4. Step 4: Simplify right side
    2,690.89x = 9,142,807.08
  5. Step 5: Solve for x
    x = 9,142,807.08/2,690.89
  6. Step 6: Final answer
    x = 3,397.69

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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.