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Finding the Fourth Proportional to 2,698.40, 4,041.20 and 1,661.60

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Solution

The fourth proportional to 2,698.40, 4,041.20 and 1,661.60 is: 2,488.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.40 : 4,041.20 = 1,661.60 : x
  2. Step 2: Convert to fraction form
    2,698.40/4,041.20 = 1,661.60/x
  3. Step 3: Cross multiply
    2,698.40x = 4,041.20 × 1,661.60
  4. Step 4: Simplify right side
    2,698.40x = 6,714,857.92
  5. Step 5: Solve for x
    x = 6,714,857.92/2,698.40
  6. Step 6: Final answer
    x = 2,488.46

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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.