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Finding the Fourth Proportional to 1,898.34, 2,619.72 and 1,112.40

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Solution

The fourth proportional to 1,898.34, 2,619.72 and 1,112.40 is: 1,535.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898.34 : 2,619.72 = 1,112.40 : x
  2. Step 2: Convert to fraction form
    1,898.34/2,619.72 = 1,112.40/x
  3. Step 3: Cross multiply
    1,898.34x = 2,619.72 × 1,112.40
  4. Step 4: Simplify right side
    1,898.34x = 2,914,176.53
  5. Step 5: Solve for x
    x = 2,914,176.53/1,898.34
  6. Step 6: Final answer
    x = 1,535.12

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