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Finding the Fourth Proportional to 2,469.40, 3,698.02 and 1,643.20

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Solution

The fourth proportional to 2,469.40, 3,698.02 and 1,643.20 is: 2,460.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.40 : 3,698.02 = 1,643.20 : x
  2. Step 2: Convert to fraction form
    2,469.40/3,698.02 = 1,643.20/x
  3. Step 3: Cross multiply
    2,469.40x = 3,698.02 × 1,643.20
  4. Step 4: Simplify right side
    2,469.40x = 6,076,586.46
  5. Step 5: Solve for x
    x = 6,076,586.46/2,469.40
  6. Step 6: Final answer
    x = 2,460.75

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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.