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Finding the Fourth Proportional to 9,280, 13,919.73 and 3,436.48

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Solution

The fourth proportional to 9,280, 13,919.73 and 3,436.48 is: 5,154.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,280 : 13,919.73 = 3,436.48 : x
  2. Step 2: Convert to fraction form
    9,280/13,919.73 = 3,436.48/x
  3. Step 3: Cross multiply
    9,280x = 13,919.73 × 3,436.48
  4. Step 4: Simplify right side
    9,280x = 47,834,873.75
  5. Step 5: Solve for x
    x = 47,834,873.75/9,280
  6. Step 6: Final answer
    x = 5,154.62

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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.