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Finding the Fourth Proportional to 4,636.34, 6,401.13 and 4,138.13

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Solution

The fourth proportional to 4,636.34, 6,401.13 and 4,138.13 is: 5,713.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,636.34 : 6,401.13 = 4,138.13 : x
  2. Step 2: Convert to fraction form
    4,636.34/6,401.13 = 4,138.13/x
  3. Step 3: Cross multiply
    4,636.34x = 6,401.13 × 4,138.13
  4. Step 4: Simplify right side
    4,636.34x = 26,488,708.09
  5. Step 5: Solve for x
    x = 26,488,708.09/4,636.34
  6. Step 6: Final answer
    x = 5,713.28

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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.