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Finding the Fourth Proportional to 5,189.88, 7,784.73 and 2,415

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Solution

The fourth proportional to 5,189.88, 7,784.73 and 2,415 is: 3,622.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.88 : 7,784.73 = 2,415 : x
  2. Step 2: Convert to fraction form
    5,189.88/7,784.73 = 2,415/x
  3. Step 3: Cross multiply
    5,189.88x = 7,784.73 × 2,415
  4. Step 4: Simplify right side
    5,189.88x = 18,800,122.95
  5. Step 5: Solve for x
    x = 18,800,122.95/5,189.88
  6. Step 6: Final answer
    x = 3,622.46

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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.