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Finding the Fourth Proportional to 3,220.86, 4,831.77 and 912.30

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Solution

The fourth proportional to 3,220.86, 4,831.77 and 912.30 is: 1,368.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,220.86 : 4,831.77 = 912.30 : x
  2. Step 2: Convert to fraction form
    3,220.86/4,831.77 = 912.30/x
  3. Step 3: Cross multiply
    3,220.86x = 4,831.77 × 912.30
  4. Step 4: Simplify right side
    3,220.86x = 4,408,023.77
  5. Step 5: Solve for x
    x = 4,408,023.77/3,220.86
  6. Step 6: Final answer
    x = 1,368.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.