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Finding the Fourth Proportional to 5,189.01, 7,783.51 and 1,293.41

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Solution

The fourth proportional to 5,189.01, 7,783.51 and 1,293.41 is: 1,940.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.01 : 7,783.51 = 1,293.41 : x
  2. Step 2: Convert to fraction form
    5,189.01/7,783.51 = 1,293.41/x
  3. Step 3: Cross multiply
    5,189.01x = 7,783.51 × 1,293.41
  4. Step 4: Simplify right side
    5,189.01x = 10,067,269.67
  5. Step 5: Solve for x
    x = 10,067,269.67/5,189.01
  6. Step 6: Final answer
    x = 1,940.11

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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.