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Finding the Fourth Proportional to 7,394, 10,203.72 and 4,082

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Solution

The fourth proportional to 7,394, 10,203.72 and 4,082 is: 5,633.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,394 : 10,203.72 = 4,082 : x
  2. Step 2: Convert to fraction form
    7,394/10,203.72 = 4,082/x
  3. Step 3: Cross multiply
    7,394x = 10,203.72 × 4,082
  4. Step 4: Simplify right side
    7,394x = 41,651,585.04
  5. Step 5: Solve for x
    x = 41,651,585.04/7,394
  6. Step 6: Final answer
    x = 5,633.16

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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.