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Finding the Fourth Proportional to 6,440.40, 9,661.80 and 2,059.10

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Solution

The fourth proportional to 6,440.40, 9,661.80 and 2,059.10 is: 3,089.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,440.40 : 9,661.80 = 2,059.10 : x
  2. Step 2: Convert to fraction form
    6,440.40/9,661.80 = 2,059.10/x
  3. Step 3: Cross multiply
    6,440.40x = 9,661.80 × 2,059.10
  4. Step 4: Simplify right side
    6,440.40x = 19,894,612.38
  5. Step 5: Solve for x
    x = 19,894,612.38/6,440.40
  6. Step 6: Final answer
    x = 3,089.03

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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.