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Finding the Fourth Proportional to 9,138.76, 13,706.08 and 4,203.65

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Solution

The fourth proportional to 9,138.76, 13,706.08 and 4,203.65 is: 6,304.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.76 : 13,706.08 = 4,203.65 : x
  2. Step 2: Convert to fraction form
    9,138.76/13,706.08 = 4,203.65/x
  3. Step 3: Cross multiply
    9,138.76x = 13,706.08 × 4,203.65
  4. Step 4: Simplify right side
    9,138.76x = 57,615,563.19
  5. Step 5: Solve for x
    x = 57,615,563.19/9,138.76
  6. Step 6: Final answer
    x = 6,304.53

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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.