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Finding the Fourth Proportional to 4,189.37, 5,781.37 and 2,421

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Solution

The fourth proportional to 4,189.37, 5,781.37 and 2,421 is: 3,341.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189.37 : 5,781.37 = 2,421 : x
  2. Step 2: Convert to fraction form
    4,189.37/5,781.37 = 2,421/x
  3. Step 3: Cross multiply
    4,189.37x = 5,781.37 × 2,421
  4. Step 4: Simplify right side
    4,189.37x = 13,996,690.72
  5. Step 5: Solve for x
    x = 13,996,690.72/4,189.37
  6. Step 6: Final answer
    x = 3,341.01

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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.