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Finding the Fourth Proportional to 1,889.99, 2,834.06 and 573.50

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Solution

The fourth proportional to 1,889.99, 2,834.06 and 573.50 is: 859.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,889.99 : 2,834.06 = 573.50 : x
  2. Step 2: Convert to fraction form
    1,889.99/2,834.06 = 573.50/x
  3. Step 3: Cross multiply
    1,889.99x = 2,834.06 × 573.50
  4. Step 4: Simplify right side
    1,889.99x = 1,625,341.93
  5. Step 5: Solve for x
    x = 1,625,341.93/1,889.99
  6. Step 6: Final answer
    x = 859.97

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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.