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Finding the Fourth Proportional to 1,367.18, 1,887.42 and 843.50

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Solution

The fourth proportional to 1,367.18, 1,887.42 and 843.50 is: 1,164.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.18 : 1,887.42 = 843.50 : x
  2. Step 2: Convert to fraction form
    1,367.18/1,887.42 = 843.50/x
  3. Step 3: Cross multiply
    1,367.18x = 1,887.42 × 843.50
  4. Step 4: Simplify right side
    1,367.18x = 1,592,038.77
  5. Step 5: Solve for x
    x = 1,592,038.77/1,367.18
  6. Step 6: Final answer
    x = 1,164.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.