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Finding the Fourth Proportional to 7,444, 10,272.72 and 4,132

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Solution

The fourth proportional to 7,444, 10,272.72 and 4,132 is: 5,702.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,444 : 10,272.72 = 4,132 : x
  2. Step 2: Convert to fraction form
    7,444/10,272.72 = 4,132/x
  3. Step 3: Cross multiply
    7,444x = 10,272.72 × 4,132
  4. Step 4: Simplify right side
    7,444x = 42,446,879.04
  5. Step 5: Solve for x
    x = 42,446,879.04/7,444
  6. Step 6: Final answer
    x = 5,702.16

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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.