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Finding the Fourth Proportional to 5,419, 8,128.52 and 1,315

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Solution

The fourth proportional to 5,419, 8,128.52 and 1,315 is: 1,972.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,419 : 8,128.52 = 1,315 : x
  2. Step 2: Convert to fraction form
    5,419/8,128.52 = 1,315/x
  3. Step 3: Cross multiply
    5,419x = 8,128.52 × 1,315
  4. Step 4: Simplify right side
    5,419x = 10,689,003.80
  5. Step 5: Solve for x
    x = 10,689,003.80/5,419
  6. Step 6: Final answer
    x = 1,972.50

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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.