Home / 5,106.20-7,658.46-1,643

Finding the Fourth Proportional to 5,106.20, 7,658.46 and 1,643

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Solution

The fourth proportional to 5,106.20, 7,658.46 and 1,643 is: 2,464.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,106.20 : 7,658.46 = 1,643 : x
  2. Step 2: Convert to fraction form
    5,106.20/7,658.46 = 1,643/x
  3. Step 3: Cross multiply
    5,106.20x = 7,658.46 × 1,643
  4. Step 4: Simplify right side
    5,106.20x = 12,582,849.78
  5. Step 5: Solve for x
    x = 12,582,849.78/5,106.20
  6. Step 6: Final answer
    x = 2,464.23

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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.