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Finding the Fourth Proportional to 4,157.40, 5,737.40 and 2,389.56

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Solution

The fourth proportional to 4,157.40, 5,737.40 and 2,389.56 is: 3,297.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.40 : 5,737.40 = 2,389.56 : x
  2. Step 2: Convert to fraction form
    4,157.40/5,737.40 = 2,389.56/x
  3. Step 3: Cross multiply
    4,157.40x = 5,737.40 × 2,389.56
  4. Step 4: Simplify right side
    4,157.40x = 13,709,849.60
  5. Step 5: Solve for x
    x = 13,709,849.60/4,157.40
  6. Step 6: Final answer
    x = 3,297.70

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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.