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Finding the Fourth Proportional to 2,468.10, 3,698.10 and 2,103.60

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Solution

The fourth proportional to 2,468.10, 3,698.10 and 2,103.60 is: 3,151.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.10 : 3,698.10 = 2,103.60 : x
  2. Step 2: Convert to fraction form
    2,468.10/3,698.10 = 2,103.60/x
  3. Step 3: Cross multiply
    2,468.10x = 3,698.10 × 2,103.60
  4. Step 4: Simplify right side
    2,468.10x = 7,779,323.16
  5. Step 5: Solve for x
    x = 7,779,323.16/2,468.10
  6. Step 6: Final answer
    x = 3,151.95

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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.