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Finding the Fourth Proportional to 5,157.84, 7,735.52 and 2,381.85

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Solution

The fourth proportional to 5,157.84, 7,735.52 and 2,381.85 is: 3,572.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.84 : 7,735.52 = 2,381.85 : x
  2. Step 2: Convert to fraction form
    5,157.84/7,735.52 = 2,381.85/x
  3. Step 3: Cross multiply
    5,157.84x = 7,735.52 × 2,381.85
  4. Step 4: Simplify right side
    5,157.84x = 18,424,848.31
  5. Step 5: Solve for x
    x = 18,424,848.31/5,157.84
  6. Step 6: Final answer
    x = 3,572.20

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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.