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Finding the Fourth Proportional to 9,270.62, 13,881.93 and 8,427.74

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Solution

The fourth proportional to 9,270.62, 13,881.93 and 8,427.74 is: 12,619.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,270.62 : 13,881.93 = 8,427.74 : x
  2. Step 2: Convert to fraction form
    9,270.62/13,881.93 = 8,427.74/x
  3. Step 3: Cross multiply
    9,270.62x = 13,881.93 × 8,427.74
  4. Step 4: Simplify right side
    9,270.62x = 116,993,299.84
  5. Step 5: Solve for x
    x = 116,993,299.84/9,270.62
  6. Step 6: Final answer
    x = 12,619.80

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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.