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Finding the Fourth Proportional to 11,503.88, 15,836.20 and 8,514.08

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Solution

The fourth proportional to 11,503.88, 15,836.20 and 8,514.08 is: 11,720.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,503.88 : 15,836.20 = 8,514.08 : x
  2. Step 2: Convert to fraction form
    11,503.88/15,836.20 = 8,514.08/x
  3. Step 3: Cross multiply
    11,503.88x = 15,836.20 × 8,514.08
  4. Step 4: Simplify right side
    11,503.88x = 134,830,673.70
  5. Step 5: Solve for x
    x = 134,830,673.70/11,503.88
  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.