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Finding the Fourth Proportional to 1,920.69, 2,884.95 and 1,694.70

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Solution

The fourth proportional to 1,920.69, 2,884.95 and 1,694.70 is: 2,545.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.69 : 2,884.95 = 1,694.70 : x
  2. Step 2: Convert to fraction form
    1,920.69/2,884.95 = 1,694.70/x
  3. Step 3: Cross multiply
    1,920.69x = 2,884.95 × 1,694.70
  4. Step 4: Simplify right side
    1,920.69x = 4,889,124.77
  5. Step 5: Solve for x
    x = 4,889,124.77/1,920.69
  6. Step 6: Final answer
    x = 2,545.50

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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.