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Finding the Fourth Proportional to 9,248, 13,872 and 3,092.16

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Solution

The fourth proportional to 9,248, 13,872 and 3,092.16 is: 4,638.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,248 : 13,872 = 3,092.16 : x
  2. Step 2: Convert to fraction form
    9,248/13,872 = 3,092.16/x
  3. Step 3: Cross multiply
    9,248x = 13,872 × 3,092.16
  4. Step 4: Simplify right side
    9,248x = 42,894,443.52
  5. Step 5: Solve for x
    x = 42,894,443.52/9,248
  6. Step 6: Final answer
    x = 4,638.24

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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.