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Finding the Fourth Proportional to 8,572.86, 11,831.31 and 5,214.87

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Solution

The fourth proportional to 8,572.86, 11,831.31 and 5,214.87 is: 7,196.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,572.86 : 11,831.31 = 5,214.87 : x
  2. Step 2: Convert to fraction form
    8,572.86/11,831.31 = 5,214.87/x
  3. Step 3: Cross multiply
    8,572.86x = 11,831.31 × 5,214.87
  4. Step 4: Simplify right side
    8,572.86x = 61,698,743.58
  5. Step 5: Solve for x
    x = 61,698,743.58/8,572.86
  6. Step 6: Final answer
    x = 7,196.98

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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.