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Finding the Fourth Proportional to 3,097.35, 4,648.95 and 1,923.80

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Solution

The fourth proportional to 3,097.35, 4,648.95 and 1,923.80 is: 2,887.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.35 : 4,648.95 = 1,923.80 : x
  2. Step 2: Convert to fraction form
    3,097.35/4,648.95 = 1,923.80/x
  3. Step 3: Cross multiply
    3,097.35x = 4,648.95 × 1,923.80
  4. Step 4: Simplify right side
    3,097.35x = 8,943,626.77
  5. Step 5: Solve for x
    x = 8,943,626.77/3,097.35
  6. Step 6: Final answer
    x = 2,887.51

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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.