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Finding the Fourth Proportional to 11,186.88, 15,411.20 and 7,823.40

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Solution

The fourth proportional to 11,186.88, 15,411.20 and 7,823.40 is: 10,777.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,186.88 : 15,411.20 = 7,823.40 : x
  2. Step 2: Convert to fraction form
    11,186.88/15,411.20 = 7,823.40/x
  3. Step 3: Cross multiply
    11,186.88x = 15,411.20 × 7,823.40
  4. Step 4: Simplify right side
    11,186.88x = 120,567,982.08
  5. Step 5: Solve for x
    x = 120,567,982.08/11,186.88
  6. Step 6: Final answer
    x = 10,777.62

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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.