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Finding the Fourth Proportional to 2,652.85, 3,662.31 and 1,709.20

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Solution

The fourth proportional to 2,652.85, 3,662.31 and 1,709.20 is: 2,359.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.85 : 3,662.31 = 1,709.20 : x
  2. Step 2: Convert to fraction form
    2,652.85/3,662.31 = 1,709.20/x
  3. Step 3: Cross multiply
    2,652.85x = 3,662.31 × 1,709.20
  4. Step 4: Simplify right side
    2,652.85x = 6,259,631.24
  5. Step 5: Solve for x
    x = 6,259,631.24/2,652.85
  6. Step 6: Final answer
    x = 2,359.59

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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.