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Finding the Fourth Proportional to 9,137.74, 13,706.69 and 7,812.91

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Solution

The fourth proportional to 9,137.74, 13,706.69 and 7,812.91 is: 11,719.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.74 : 13,706.69 = 7,812.91 : x
  2. Step 2: Convert to fraction form
    9,137.74/13,706.69 = 7,812.91/x
  3. Step 3: Cross multiply
    9,137.74x = 13,706.69 × 7,812.91
  4. Step 4: Simplify right side
    9,137.74x = 107,089,096.30
  5. Step 5: Solve for x
    x = 107,089,096.30/9,137.74
  6. Step 6: Final answer
    x = 11,719.43

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1.5x scale

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.