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Finding the Fourth Proportional to 5,624, 7,764 and 3,530.24

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Solution

The fourth proportional to 5,624, 7,764 and 3,530.24 is: 4,873.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,624 : 7,764 = 3,530.24 : x
  2. Step 2: Convert to fraction form
    5,624/7,764 = 3,530.24/x
  3. Step 3: Cross multiply
    5,624x = 7,764 × 3,530.24
  4. Step 4: Simplify right side
    5,624x = 27,408,783.36
  5. Step 5: Solve for x
    x = 27,408,783.36/5,624
  6. Step 6: Final answer
    x = 4,873.54

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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.