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Finding the Fourth Proportional to 5,624, 8,436.24 and 1,728.96

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Solution

The fourth proportional to 5,624, 8,436.24 and 1,728.96 is: 2,593.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,624 : 8,436.24 = 1,728.96 : x
  2. Step 2: Convert to fraction form
    5,624/8,436.24 = 1,728.96/x
  3. Step 3: Cross multiply
    5,624x = 8,436.24 × 1,728.96
  4. Step 4: Simplify right side
    5,624x = 14,585,921.51
  5. Step 5: Solve for x
    x = 14,585,921.51/5,624
  6. Step 6: Final answer
    x = 2,593.51

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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.