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Finding the Fourth Proportional to 2,794.60, 4,191.90 and 1,698.40

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Solution

The fourth proportional to 2,794.60, 4,191.90 and 1,698.40 is: 2,547.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.60 : 4,191.90 = 1,698.40 : x
  2. Step 2: Convert to fraction form
    2,794.60/4,191.90 = 1,698.40/x
  3. Step 3: Cross multiply
    2,794.60x = 4,191.90 × 1,698.40
  4. Step 4: Simplify right side
    2,794.60x = 7,119,522.96
  5. Step 5: Solve for x
    x = 7,119,522.96/2,794.60
  6. Step 6: Final answer
    x = 2,547.60

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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.