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Finding the Fourth Proportional to 2,246, 3,099.50 and 1,314.52

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Solution

The fourth proportional to 2,246, 3,099.50 and 1,314.52 is: 1,814.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,246 : 3,099.50 = 1,314.52 : x
  2. Step 2: Convert to fraction form
    2,246/3,099.50 = 1,314.52/x
  3. Step 3: Cross multiply
    2,246x = 3,099.50 × 1,314.52
  4. Step 4: Simplify right side
    2,246x = 4,074,354.74
  5. Step 5: Solve for x
    x = 4,074,354.74/2,246
  6. Step 6: Final answer
    x = 1,814.05

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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.