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Finding the Fourth Proportional to 2,289.50, 3,434.26 and 921.50

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Solution

The fourth proportional to 2,289.50, 3,434.26 and 921.50 is: 1,382.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.50 : 3,434.26 = 921.50 : x
  2. Step 2: Convert to fraction form
    2,289.50/3,434.26 = 921.50/x
  3. Step 3: Cross multiply
    2,289.50x = 3,434.26 × 921.50
  4. Step 4: Simplify right side
    2,289.50x = 3,164,670.59
  5. Step 5: Solve for x
    x = 3,164,670.59/2,289.50
  6. Step 6: Final answer
    x = 1,382.25

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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.