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Finding the Fourth Proportional to 2,993.78, 4,130.13 and 1,945.94

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Solution

The fourth proportional to 2,993.78, 4,130.13 and 1,945.94 is: 2,684.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.78 : 4,130.13 = 1,945.94 : x
  2. Step 2: Convert to fraction form
    2,993.78/4,130.13 = 1,945.94/x
  3. Step 3: Cross multiply
    2,993.78x = 4,130.13 × 1,945.94
  4. Step 4: Simplify right side
    2,993.78x = 8,036,985.17
  5. Step 5: Solve for x
    x = 8,036,985.17/2,993.78
  6. Step 6: Final answer
    x = 2,684.56

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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.