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Finding the Fourth Proportional to 28,608.31, 42,912.47 and 7,831.81

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Solution

The fourth proportional to 28,608.31, 42,912.47 and 7,831.81 is: 11,747.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,608.31 : 42,912.47 = 7,831.81 : x
  2. Step 2: Convert to fraction form
    28,608.31/42,912.47 = 7,831.81/x
  3. Step 3: Cross multiply
    28,608.31x = 42,912.47 × 7,831.81
  4. Step 4: Simplify right side
    28,608.31x = 336,082,311.67
  5. Step 5: Solve for x
    x = 336,082,311.67/28,608.31
  6. Step 6: Final answer
    x = 11,747.72

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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.