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Finding the Fourth Proportional to 5,419, 7,478.13 and 3,029.02

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Solution

The fourth proportional to 5,419, 7,478.13 and 3,029.02 is: 4,179.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,419 : 7,478.13 = 3,029.02 : x
  2. Step 2: Convert to fraction form
    5,419/7,478.13 = 3,029.02/x
  3. Step 3: Cross multiply
    5,419x = 7,478.13 × 3,029.02
  4. Step 4: Simplify right side
    5,419x = 22,651,384.63
  5. Step 5: Solve for x
    x = 22,651,384.63/5,419
  6. Step 6: Final answer
    x = 4,179.99

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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.