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Finding the Fourth Proportional to 1,898.64, 2,620.14 and 1,112.76

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Solution

The fourth proportional to 1,898.64, 2,620.14 and 1,112.76 is: 1,535.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898.64 : 2,620.14 = 1,112.76 : x
  2. Step 2: Convert to fraction form
    1,898.64/2,620.14 = 1,112.76/x
  3. Step 3: Cross multiply
    1,898.64x = 2,620.14 × 1,112.76
  4. Step 4: Simplify right side
    1,898.64x = 2,915,586.99
  5. Step 5: Solve for x
    x = 2,915,586.99/1,898.64
  6. Step 6: Final answer
    x = 1,535.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.