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Finding the Fourth Proportional to 6,440, 9,661.44 and 2,336

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Solution

The fourth proportional to 6,440, 9,661.44 and 2,336 is: 3,504.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,440 : 9,661.44 = 2,336 : x
  2. Step 2: Convert to fraction form
    6,440/9,661.44 = 2,336/x
  3. Step 3: Cross multiply
    6,440x = 9,661.44 × 2,336
  4. Step 4: Simplify right side
    6,440x = 22,569,123.84
  5. Step 5: Solve for x
    x = 22,569,123.84/6,440
  6. Step 6: Final answer
    x = 3,504.52

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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.