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Finding the Fourth Proportional to 5,414, 8,121.04 and 1,310

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Solution

The fourth proportional to 5,414, 8,121.04 and 1,310 is: 1,965.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414 : 8,121.04 = 1,310 : x
  2. Step 2: Convert to fraction form
    5,414/8,121.04 = 1,310/x
  3. Step 3: Cross multiply
    5,414x = 8,121.04 × 1,310
  4. Step 4: Simplify right side
    5,414x = 10,638,562.40
  5. Step 5: Solve for x
    x = 10,638,562.40/5,414
  6. Step 6: Final answer
    x = 1,965.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.