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Finding the Fourth Proportional to 3,906.84, 5,389.74 and 2,509.32

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Solution

The fourth proportional to 3,906.84, 5,389.74 and 2,509.32 is: 3,461.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.84 : 5,389.74 = 2,509.32 : x
  2. Step 2: Convert to fraction form
    3,906.84/5,389.74 = 2,509.32/x
  3. Step 3: Cross multiply
    3,906.84x = 5,389.74 × 2,509.32
  4. Step 4: Simplify right side
    3,906.84x = 13,524,582.38
  5. Step 5: Solve for x
    x = 13,524,582.38/3,906.84
  6. Step 6: Final answer
    x = 3,461.77

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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.