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Finding the Fourth Proportional to 2,246.08, 3,096 and 1,498.56

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Solution

The fourth proportional to 2,246.08, 3,096 and 1,498.56 is: 2,065.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,246.08 : 3,096 = 1,498.56 : x
  2. Step 2: Convert to fraction form
    2,246.08/3,096 = 1,498.56/x
  3. Step 3: Cross multiply
    2,246.08x = 3,096 × 1,498.56
  4. Step 4: Simplify right side
    2,246.08x = 4,639,541.76
  5. Step 5: Solve for x
    x = 4,639,541.76/2,246.08
  6. Step 6: Final answer
    x = 2,065.62

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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.