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Finding the Fourth Proportional to 6,642.37, 9,166.50 and 3,658.25

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Solution

The fourth proportional to 6,642.37, 9,166.50 and 3,658.25 is: 5,048.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642.37 : 9,166.50 = 3,658.25 : x
  2. Step 2: Convert to fraction form
    6,642.37/9,166.50 = 3,658.25/x
  3. Step 3: Cross multiply
    6,642.37x = 9,166.50 × 3,658.25
  4. Step 4: Simplify right side
    6,642.37x = 33,533,348.63
  5. Step 5: Solve for x
    x = 33,533,348.63/6,642.37
  6. Step 6: Final answer
    x = 5,048.40

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Half scale
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Double 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.