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Finding the Fourth Proportional to 1,870.05, 2,806.02 and 830.73

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Solution

The fourth proportional to 1,870.05, 2,806.02 and 830.73 is: 1,246.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.05 : 2,806.02 = 830.73 : x
  2. Step 2: Convert to fraction form
    1,870.05/2,806.02 = 830.73/x
  3. Step 3: Cross multiply
    1,870.05x = 2,806.02 × 830.73
  4. Step 4: Simplify right side
    1,870.05x = 2,331,044.99
  5. Step 5: Solve for x
    x = 2,331,044.99/1,870.05
  6. Step 6: Final answer
    x = 1,246.51

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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.