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Finding the Fourth Proportional to 5,259.78, 7,887.83 and 1,748.84

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Solution

The fourth proportional to 5,259.78, 7,887.83 and 1,748.84 is: 2,622.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,259.78 : 7,887.83 = 1,748.84 : x
  2. Step 2: Convert to fraction form
    5,259.78/7,887.83 = 1,748.84/x
  3. Step 3: Cross multiply
    5,259.78x = 7,887.83 × 1,748.84
  4. Step 4: Simplify right side
    5,259.78x = 13,794,504.43
  5. Step 5: Solve for x
    x = 13,794,504.43/5,259.78
  6. Step 6: Final answer
    x = 2,622.64

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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.