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Finding the Fourth Proportional to 3,491.63, 4,818.47 and 1,919.78

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Solution

The fourth proportional to 3,491.63, 4,818.47 and 1,919.78 is: 2,649.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.63 : 4,818.47 = 1,919.78 : x
  2. Step 2: Convert to fraction form
    3,491.63/4,818.47 = 1,919.78/x
  3. Step 3: Cross multiply
    3,491.63x = 4,818.47 × 1,919.78
  4. Step 4: Simplify right side
    3,491.63x = 9,250,368.65
  5. Step 5: Solve for x
    x = 9,250,368.65/3,491.63
  6. Step 6: Final answer
    x = 2,649.30

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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.