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Finding the Fourth Proportional to 4,189.88, 5,782.05 and 2,618.88

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Solution

The fourth proportional to 4,189.88, 5,782.05 and 2,618.88 is: 3,614.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189.88 : 5,782.05 = 2,618.88 : x
  2. Step 2: Convert to fraction form
    4,189.88/5,782.05 = 2,618.88/x
  3. Step 3: Cross multiply
    4,189.88x = 5,782.05 × 2,618.88
  4. Step 4: Simplify right side
    4,189.88x = 15,142,495.10
  5. Step 5: Solve for x
    x = 15,142,495.10/4,189.88
  6. Step 6: Final answer
    x = 3,614.07

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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.