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Finding the Fourth Proportional to 5,899.84, 8,138.17 and 4,638.87

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Solution

The fourth proportional to 5,899.84, 8,138.17 and 4,638.87 is: 6,398.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,899.84 : 8,138.17 = 4,638.87 : x
  2. Step 2: Convert to fraction form
    5,899.84/8,138.17 = 4,638.87/x
  3. Step 3: Cross multiply
    5,899.84x = 8,138.17 × 4,638.87
  4. Step 4: Simplify right side
    5,899.84x = 37,751,918.47
  5. Step 5: Solve for x
    x = 37,751,918.47/5,899.84
  6. Step 6: Final answer
    x = 6,398.81

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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.