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Finding the Fourth Proportional to 3,396.66, 5,094.81 and 931.47

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Solution

The fourth proportional to 3,396.66, 5,094.81 and 931.47 is: 1,397.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,396.66 : 5,094.81 = 931.47 : x
  2. Step 2: Convert to fraction form
    3,396.66/5,094.81 = 931.47/x
  3. Step 3: Cross multiply
    3,396.66x = 5,094.81 × 931.47
  4. Step 4: Simplify right side
    3,396.66x = 4,745,662.67
  5. Step 5: Solve for x
    x = 4,745,662.67/3,396.66
  6. Step 6: Final answer
    x = 1,397.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.