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Finding the Fourth Proportional to 3,340.80, 5,012.04 and 1,698.24

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Solution

The fourth proportional to 3,340.80, 5,012.04 and 1,698.24 is: 2,547.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,340.80 : 5,012.04 = 1,698.24 : x
  2. Step 2: Convert to fraction form
    3,340.80/5,012.04 = 1,698.24/x
  3. Step 3: Cross multiply
    3,340.80x = 5,012.04 × 1,698.24
  4. Step 4: Simplify right side
    3,340.80x = 8,511,646.81
  5. Step 5: Solve for x
    x = 8,511,646.81/3,340.80
  6. Step 6: Final answer
    x = 2,547.79

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1.5x scale

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.