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Finding the Fourth Proportional to 2,316.78, 3,475.20 and 930.78

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Solution

The fourth proportional to 2,316.78, 3,475.20 and 930.78 is: 1,396.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.78 : 3,475.20 = 930.78 : x
  2. Step 2: Convert to fraction form
    2,316.78/3,475.20 = 930.78/x
  3. Step 3: Cross multiply
    2,316.78x = 3,475.20 × 930.78
  4. Step 4: Simplify right side
    2,316.78x = 3,234,646.66
  5. Step 5: Solve for x
    x = 3,234,646.66/2,316.78
  6. Step 6: Final answer
    x = 1,396.18

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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.