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Finding the Fourth Proportional to 2,295, 3,442.50 and 1,269

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Solution

The fourth proportional to 2,295, 3,442.50 and 1,269 is: 1,903.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295 : 3,442.50 = 1,269 : x
  2. Step 2: Convert to fraction form
    2,295/3,442.50 = 1,269/x
  3. Step 3: Cross multiply
    2,295x = 3,442.50 × 1,269
  4. Step 4: Simplify right side
    2,295x = 4,368,532.50
  5. Step 5: Solve for x
    x = 4,368,532.50/2,295
  6. Step 6: Final answer
    x = 1,903.50

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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.