Home / 1,698.44-2,547.68-919.04

Finding the Fourth Proportional to 1,698.44, 2,547.68 and 919.04

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Solution

The fourth proportional to 1,698.44, 2,547.68 and 919.04 is: 1,378.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.44 : 2,547.68 = 919.04 : x
  2. Step 2: Convert to fraction form
    1,698.44/2,547.68 = 919.04/x
  3. Step 3: Cross multiply
    1,698.44x = 2,547.68 × 919.04
  4. Step 4: Simplify right side
    1,698.44x = 2,341,419.83
  5. Step 5: Solve for x
    x = 2,341,419.83/1,698.44
  6. Step 6: Final answer
    x = 1,378.57

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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.