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Finding the Fourth Proportional to 2,557.44, 3,835.29 and 997.32

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Solution

The fourth proportional to 2,557.44, 3,835.29 and 997.32 is: 1,495.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557.44 : 3,835.29 = 997.32 : x
  2. Step 2: Convert to fraction form
    2,557.44/3,835.29 = 997.32/x
  3. Step 3: Cross multiply
    2,557.44x = 3,835.29 × 997.32
  4. Step 4: Simplify right side
    2,557.44x = 3,825,011.42
  5. Step 5: Solve for x
    x = 3,825,011.42/2,557.44
  6. Step 6: Final answer
    x = 1,495.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.