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Finding the Fourth Proportional to 9,159.75, 13,730.34 and 3,617

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Solution

The fourth proportional to 9,159.75, 13,730.34 and 3,617 is: 5,421.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,159.75 : 13,730.34 = 3,617 : x
  2. Step 2: Convert to fraction form
    9,159.75/13,730.34 = 3,617/x
  3. Step 3: Cross multiply
    9,159.75x = 13,730.34 × 3,617
  4. Step 4: Simplify right side
    9,159.75x = 49,662,639.78
  5. Step 5: Solve for x
    x = 49,662,639.78/9,159.75
  6. Step 6: Final answer
    x = 5,421.84

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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.