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Finding the Fourth Proportional to 9,002, 13,502.32 and 3,159

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Solution

The fourth proportional to 9,002, 13,502.32 and 3,159 is: 4,738.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,002 : 13,502.32 = 3,159 : x
  2. Step 2: Convert to fraction form
    9,002/13,502.32 = 3,159/x
  3. Step 3: Cross multiply
    9,002x = 13,502.32 × 3,159
  4. Step 4: Simplify right side
    9,002x = 42,653,828.88
  5. Step 5: Solve for x
    x = 42,653,828.88/9,002
  6. Step 6: Final answer
    x = 4,738.26

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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.