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Finding the Fourth Proportional to 4,238.76, 5,855.46 and 3,066

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Solution

The fourth proportional to 4,238.76, 5,855.46 and 3,066 is: 4,235.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,238.76 : 5,855.46 = 3,066 : x
  2. Step 2: Convert to fraction form
    4,238.76/5,855.46 = 3,066/x
  3. Step 3: Cross multiply
    4,238.76x = 5,855.46 × 3,066
  4. Step 4: Simplify right side
    4,238.76x = 17,952,840.36
  5. Step 5: Solve for x
    x = 17,952,840.36/4,238.76
  6. Step 6: Final answer
    x = 4,235.40

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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.