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Finding the Fourth Proportional to 6,060.40, 9,096.40 and 3,140.80

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Solution

The fourth proportional to 6,060.40, 9,096.40 and 3,140.80 is: 4,714.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,060.40 : 9,096.40 = 3,140.80 : x
  2. Step 2: Convert to fraction form
    6,060.40/9,096.40 = 3,140.80/x
  3. Step 3: Cross multiply
    6,060.40x = 9,096.40 × 3,140.80
  4. Step 4: Simplify right side
    6,060.40x = 28,569,973.12
  5. Step 5: Solve for x
    x = 28,569,973.12/6,060.40
  6. Step 6: Final answer
    x = 4,714.21

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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.