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Finding the Fourth Proportional to 7,270, 10,032.72 and 3,958

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Solution

The fourth proportional to 7,270, 10,032.72 and 3,958 is: 5,462.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,270 : 10,032.72 = 3,958 : x
  2. Step 2: Convert to fraction form
    7,270/10,032.72 = 3,958/x
  3. Step 3: Cross multiply
    7,270x = 10,032.72 × 3,958
  4. Step 4: Simplify right side
    7,270x = 39,709,505.76
  5. Step 5: Solve for x
    x = 39,709,505.76/7,270
  6. Step 6: Final answer
    x = 5,462.11

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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.