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Finding the Fourth Proportional to 6,601.69, 9,108.88 and 4,477.60

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Solution

The fourth proportional to 6,601.69, 9,108.88 and 4,477.60 is: 6,178.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,601.69 : 9,108.88 = 4,477.60 : x
  2. Step 2: Convert to fraction form
    6,601.69/9,108.88 = 4,477.60/x
  3. Step 3: Cross multiply
    6,601.69x = 9,108.88 × 4,477.60
  4. Step 4: Simplify right side
    6,601.69x = 40,785,921.09
  5. Step 5: Solve for x
    x = 40,785,921.09/6,601.69
  6. Step 6: Final answer
    x = 6,178.10

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Half scale
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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.