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Finding the Fourth Proportional to 1,891.47, 2,834.58 and 1,428.87

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Solution

The fourth proportional to 1,891.47, 2,834.58 and 1,428.87 is: 2,141.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891.47 : 2,834.58 = 1,428.87 : x
  2. Step 2: Convert to fraction form
    1,891.47/2,834.58 = 1,428.87/x
  3. Step 3: Cross multiply
    1,891.47x = 2,834.58 × 1,428.87
  4. Step 4: Simplify right side
    1,891.47x = 4,050,246.32
  5. Step 5: Solve for x
    x = 4,050,246.32/1,891.47
  6. Step 6: Final answer
    x = 2,141.32

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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.