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Finding the Fourth Proportional to 2,291.50, 3,437.25 and 923.50

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Solution

The fourth proportional to 2,291.50, 3,437.25 and 923.50 is: 1,385.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.50 : 3,437.25 = 923.50 : x
  2. Step 2: Convert to fraction form
    2,291.50/3,437.25 = 923.50/x
  3. Step 3: Cross multiply
    2,291.50x = 3,437.25 × 923.50
  4. Step 4: Simplify right side
    2,291.50x = 3,174,300.38
  5. Step 5: Solve for x
    x = 3,174,300.38/2,291.50
  6. Step 6: Final answer
    x = 1,385.25

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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.