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Finding the Fourth Proportional to 5,054.86, 6,975.71 and 2,930.80

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Solution

The fourth proportional to 5,054.86, 6,975.71 and 2,930.80 is: 4,044.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,054.86 : 6,975.71 = 2,930.80 : x
  2. Step 2: Convert to fraction form
    5,054.86/6,975.71 = 2,930.80/x
  3. Step 3: Cross multiply
    5,054.86x = 6,975.71 × 2,930.80
  4. Step 4: Simplify right side
    5,054.86x = 20,444,410.87
  5. Step 5: Solve for x
    x = 20,444,410.87/5,054.86
  6. Step 6: Final answer
    x = 4,044.51

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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.