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Finding the Fourth Proportional to 6,640.71, 9,164.12 and 3,656.49

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Solution

The fourth proportional to 6,640.71, 9,164.12 and 3,656.49 is: 5,045.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,640.71 : 9,164.12 = 3,656.49 : x
  2. Step 2: Convert to fraction form
    6,640.71/9,164.12 = 3,656.49/x
  3. Step 3: Cross multiply
    6,640.71x = 9,164.12 × 3,656.49
  4. Step 4: Simplify right side
    6,640.71x = 33,508,460.49
  5. Step 5: Solve for x
    x = 33,508,460.49/6,640.71
  6. Step 6: Final answer
    x = 5,045.91

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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.