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Finding the Fourth Proportional to 8,362, 12,541.46 and 3,096.20

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Solution

The fourth proportional to 8,362, 12,541.46 and 3,096.20 is: 4,643.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,362 : 12,541.46 = 3,096.20 : x
  2. Step 2: Convert to fraction form
    8,362/12,541.46 = 3,096.20/x
  3. Step 3: Cross multiply
    8,362x = 12,541.46 × 3,096.20
  4. Step 4: Simplify right side
    8,362x = 38,830,868.45
  5. Step 5: Solve for x
    x = 38,830,868.45/8,362
  6. Step 6: Final answer
    x = 4,643.73

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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.