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Finding the Fourth Proportional to 5,947.09, 8,920.77 and 1,998.40

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Solution

The fourth proportional to 5,947.09, 8,920.77 and 1,998.40 is: 2,997.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.09 : 8,920.77 = 1,998.40 : x
  2. Step 2: Convert to fraction form
    5,947.09/8,920.77 = 1,998.40/x
  3. Step 3: Cross multiply
    5,947.09x = 8,920.77 × 1,998.40
  4. Step 4: Simplify right side
    5,947.09x = 17,827,277.05
  5. Step 5: Solve for x
    x = 17,827,277.05/5,947.09
  6. Step 6: Final answer
    x = 2,997.65

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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.