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Finding the Fourth Proportional to 5,193.48, 7,787.34 and 1,728.84

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Solution

The fourth proportional to 5,193.48, 7,787.34 and 1,728.84 is: 2,592.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.48 : 7,787.34 = 1,728.84 : x
  2. Step 2: Convert to fraction form
    5,193.48/7,787.34 = 1,728.84/x
  3. Step 3: Cross multiply
    5,193.48x = 7,787.34 × 1,728.84
  4. Step 4: Simplify right side
    5,193.48x = 13,463,064.89
  5. Step 5: Solve for x
    x = 13,463,064.89/5,193.48
  6. Step 6: Final answer
    x = 2,592.30

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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.