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Finding the Fourth Proportional to 1,436.24, 1,981.31 and 938.90

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Solution

The fourth proportional to 1,436.24, 1,981.31 and 938.90 is: 1,295.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.24 : 1,981.31 = 938.90 : x
  2. Step 2: Convert to fraction form
    1,436.24/1,981.31 = 938.90/x
  3. Step 3: Cross multiply
    1,436.24x = 1,981.31 × 938.90
  4. Step 4: Simplify right side
    1,436.24x = 1,860,237.36
  5. Step 5: Solve for x
    x = 1,860,237.36/1,436.24
  6. Step 6: Final answer
    x = 1,295.22

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1.5x scale

Why These Related Problems?

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