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Finding the Fourth Proportional to 11,167.62, 15,412.11 and 7,384.21

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Solution

The fourth proportional to 11,167.62, 15,412.11 and 7,384.21 is: 10,190.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,167.62 : 15,412.11 = 7,384.21 : x
  2. Step 2: Convert to fraction form
    11,167.62/15,412.11 = 7,384.21/x
  3. Step 3: Cross multiply
    11,167.62x = 15,412.11 × 7,384.21
  4. Step 4: Simplify right side
    11,167.62x = 113,806,277.26
  5. Step 5: Solve for x
    x = 113,806,277.26/11,167.62
  6. Step 6: Final answer
    x = 10,190.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.