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Finding the Fourth Proportional to 8,508.86, 11,742.49 and 5,152.30

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Solution

The fourth proportional to 8,508.86, 11,742.49 and 5,152.30 is: 7,110.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,508.86 : 11,742.49 = 5,152.30 : x
  2. Step 2: Convert to fraction form
    8,508.86/11,742.49 = 5,152.30/x
  3. Step 3: Cross multiply
    8,508.86x = 11,742.49 × 5,152.30
  4. Step 4: Simplify right side
    8,508.86x = 60,500,831.23
  5. Step 5: Solve for x
    x = 60,500,831.23/8,508.86
  6. Step 6: Final answer
    x = 7,110.33

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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.