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Finding the Fourth Proportional to 4,930.78, 7,395.94 and 1,643.75

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Solution

The fourth proportional to 4,930.78, 7,395.94 and 1,643.75 is: 2,465.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,930.78 : 7,395.94 = 1,643.75 : x
  2. Step 2: Convert to fraction form
    4,930.78/7,395.94 = 1,643.75/x
  3. Step 3: Cross multiply
    4,930.78x = 7,395.94 × 1,643.75
  4. Step 4: Simplify right side
    4,930.78x = 12,157,076.38
  5. Step 5: Solve for x
    x = 12,157,076.38/4,930.78
  6. Step 6: Final answer
    x = 2,465.55

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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.