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Finding the Fourth Proportional to 5,623.82, 8,434.11 and 1,728.53

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Solution

The fourth proportional to 5,623.82, 8,434.11 and 1,728.53 is: 2,592.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,623.82 : 8,434.11 = 1,728.53 : x
  2. Step 2: Convert to fraction form
    5,623.82/8,434.11 = 1,728.53/x
  3. Step 3: Cross multiply
    5,623.82x = 8,434.11 × 1,728.53
  4. Step 4: Simplify right side
    5,623.82x = 14,578,612.16
  5. Step 5: Solve for x
    x = 14,578,612.16/5,623.82
  6. Step 6: Final answer
    x = 2,592.30

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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.