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Finding the Fourth Proportional to 3,092.72, 4,639.20 and 784.28

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Solution

The fourth proportional to 3,092.72, 4,639.20 and 784.28 is: 1,176.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092.72 : 4,639.20 = 784.28 : x
  2. Step 2: Convert to fraction form
    3,092.72/4,639.20 = 784.28/x
  3. Step 3: Cross multiply
    3,092.72x = 4,639.20 × 784.28
  4. Step 4: Simplify right side
    3,092.72x = 3,638,431.78
  5. Step 5: Solve for x
    x = 3,638,431.78/3,092.72
  6. Step 6: Final answer
    x = 1,176.45

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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.