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Finding the Fourth Proportional to 7,144, 9,858.72 and 4,348.96

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Solution

The fourth proportional to 7,144, 9,858.72 and 4,348.96 is: 6,001.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144 : 9,858.72 = 4,348.96 : x
  2. Step 2: Convert to fraction form
    7,144/9,858.72 = 4,348.96/x
  3. Step 3: Cross multiply
    7,144x = 9,858.72 × 4,348.96
  4. Step 4: Simplify right side
    7,144x = 42,875,178.93
  5. Step 5: Solve for x
    x = 42,875,178.93/7,144
  6. Step 6: Final answer
    x = 6,001.56

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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.