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Finding the Fourth Proportional to 2,508, 3,461.34 and 1,389.12

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Solution

The fourth proportional to 2,508, 3,461.34 and 1,389.12 is: 1,917.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508 : 3,461.34 = 1,389.12 : x
  2. Step 2: Convert to fraction form
    2,508/3,461.34 = 1,389.12/x
  3. Step 3: Cross multiply
    2,508x = 3,461.34 × 1,389.12
  4. Step 4: Simplify right side
    2,508x = 4,808,216.62
  5. Step 5: Solve for x
    x = 4,808,216.62/2,508
  6. Step 6: Final answer
    x = 1,917.15

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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.