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Finding the Fourth Proportional to 9,138.62, 13,715.13 and 4,696.10

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Solution

The fourth proportional to 9,138.62, 13,715.13 and 4,696.10 is: 7,047.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.62 : 13,715.13 = 4,696.10 : x
  2. Step 2: Convert to fraction form
    9,138.62/13,715.13 = 4,696.10/x
  3. Step 3: Cross multiply
    9,138.62x = 13,715.13 × 4,696.10
  4. Step 4: Simplify right side
    9,138.62x = 64,407,673.89
  5. Step 5: Solve for x
    x = 64,407,673.89/9,138.62
  6. Step 6: Final answer
    x = 7,047.86

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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.