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Finding the Fourth Proportional to 3,184, 4,397.16 and 3,162.40

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Solution

The fourth proportional to 3,184, 4,397.16 and 3,162.40 is: 4,367.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184 : 4,397.16 = 3,162.40 : x
  2. Step 2: Convert to fraction form
    3,184/4,397.16 = 3,162.40/x
  3. Step 3: Cross multiply
    3,184x = 4,397.16 × 3,162.40
  4. Step 4: Simplify right side
    3,184x = 13,905,578.78
  5. Step 5: Solve for x
    x = 13,905,578.78/3,184
  6. Step 6: Final answer
    x = 4,367.33

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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.