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Finding the Fourth Proportional to 8,307.86, 11,514.34 and 8,152.34

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Solution

The fourth proportional to 8,307.86, 11,514.34 and 8,152.34 is: 11,298.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307.86 : 11,514.34 = 8,152.34 : x
  2. Step 2: Convert to fraction form
    8,307.86/11,514.34 = 8,152.34/x
  3. Step 3: Cross multiply
    8,307.86x = 11,514.34 × 8,152.34
  4. Step 4: Simplify right side
    8,307.86x = 93,868,736.60
  5. Step 5: Solve for x
    x = 93,868,736.60/8,307.86
  6. Step 6: Final answer
    x = 11,298.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.