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Finding the Fourth Proportional to 6,840.69, 9,440.14 and 3,696.88

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Solution

The fourth proportional to 6,840.69, 9,440.14 and 3,696.88 is: 5,101.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,840.69 : 9,440.14 = 3,696.88 : x
  2. Step 2: Convert to fraction form
    6,840.69/9,440.14 = 3,696.88/x
  3. Step 3: Cross multiply
    6,840.69x = 9,440.14 × 3,696.88
  4. Step 4: Simplify right side
    6,840.69x = 34,899,064.76
  5. Step 5: Solve for x
    x = 34,899,064.76/6,840.69
  6. Step 6: Final answer
    x = 5,101.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.