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Finding the Fourth Proportional to 3,092.88, 4,639.33 and 784.38

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Solution

The fourth proportional to 3,092.88, 4,639.33 and 784.38 is: 1,176.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092.88 : 4,639.33 = 784.38 : x
  2. Step 2: Convert to fraction form
    3,092.88/4,639.33 = 784.38/x
  3. Step 3: Cross multiply
    3,092.88x = 4,639.33 × 784.38
  4. Step 4: Simplify right side
    3,092.88x = 3,638,997.67
  5. Step 5: Solve for x
    x = 3,638,997.67/3,092.88
  6. Step 6: Final answer
    x = 1,176.57

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1.5x scale

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.