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Finding the Fourth Proportional to 3,623, 5,434.54 and 887

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Solution

The fourth proportional to 3,623, 5,434.54 and 887 is: 1,330.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,623 : 5,434.54 = 887 : x
  2. Step 2: Convert to fraction form
    3,623/5,434.54 = 887/x
  3. Step 3: Cross multiply
    3,623x = 5,434.54 × 887
  4. Step 4: Simplify right side
    3,623x = 4,820,436.98
  5. Step 5: Solve for x
    x = 4,820,436.98/3,623
  6. Step 6: Final answer
    x = 1,330.51

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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.