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Finding the Fourth Proportional to 30,311.42, 41,831.05 and 16,882.67

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Solution

The fourth proportional to 30,311.42, 41,831.05 and 16,882.67 is: 23,298.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,311.42 : 41,831.05 = 16,882.67 : x
  2. Step 2: Convert to fraction form
    30,311.42/41,831.05 = 16,882.67/x
  3. Step 3: Cross multiply
    30,311.42x = 41,831.05 × 16,882.67
  4. Step 4: Simplify right side
    30,311.42x = 706,219,875.27
  5. Step 5: Solve for x
    x = 706,219,875.27/30,311.42
  6. Step 6: Final answer
    x = 23,298.81

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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.