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Finding the Fourth Proportional to 3,491, 4,817.58 and 1,919.06

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Solution

The fourth proportional to 3,491, 4,817.58 and 1,919.06 is: 2,648.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491 : 4,817.58 = 1,919.06 : x
  2. Step 2: Convert to fraction form
    3,491/4,817.58 = 1,919.06/x
  3. Step 3: Cross multiply
    3,491x = 4,817.58 × 1,919.06
  4. Step 4: Simplify right side
    3,491x = 9,245,225.07
  5. Step 5: Solve for x
    x = 9,245,225.07/3,491
  6. Step 6: Final answer
    x = 2,648.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.