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Finding the Fourth Proportional to 2,293.50, 3,440.25 and 1,267.50

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Solution

The fourth proportional to 2,293.50, 3,440.25 and 1,267.50 is: 1,901.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.50 : 3,440.25 = 1,267.50 : x
  2. Step 2: Convert to fraction form
    2,293.50/3,440.25 = 1,267.50/x
  3. Step 3: Cross multiply
    2,293.50x = 3,440.25 × 1,267.50
  4. Step 4: Simplify right side
    2,293.50x = 4,360,516.88
  5. Step 5: Solve for x
    x = 4,360,516.88/2,293.50
  6. Step 6: Final answer
    x = 1,901.25

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1.5x scale

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.