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Finding the Fourth Proportional to 7,536, 10,399.68 and 4,224

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Solution

The fourth proportional to 7,536, 10,399.68 and 4,224 is: 5,829.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,536 : 10,399.68 = 4,224 : x
  2. Step 2: Convert to fraction form
    7,536/10,399.68 = 4,224/x
  3. Step 3: Cross multiply
    7,536x = 10,399.68 × 4,224
  4. Step 4: Simplify right side
    7,536x = 43,928,248.32
  5. Step 5: Solve for x
    x = 43,928,248.32/7,536
  6. Step 6: Final answer
    x = 5,829.12

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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.