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Finding the Fourth Proportional to 11,503.89, 15,836.19 and 8,514.09

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Solution

The fourth proportional to 11,503.89, 15,836.19 and 8,514.09 is: 11,720.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,503.89 : 15,836.19 = 8,514.09 : x
  2. Step 2: Convert to fraction form
    11,503.89/15,836.19 = 8,514.09/x
  3. Step 3: Cross multiply
    11,503.89x = 15,836.19 × 8,514.09
  4. Step 4: Simplify right side
    11,503.89x = 134,830,746.92
  5. Step 5: Solve for x
    x = 134,830,746.92/11,503.89
  6. Step 6: Final answer
    x = 11,720.45

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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.