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Finding the Fourth Proportional to 1,321.53, 1,981.88 and 1,235.25

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Solution

The fourth proportional to 1,321.53, 1,981.88 and 1,235.25 is: 1,852.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.53 : 1,981.88 = 1,235.25 : x
  2. Step 2: Convert to fraction form
    1,321.53/1,981.88 = 1,235.25/x
  3. Step 3: Cross multiply
    1,321.53x = 1,981.88 × 1,235.25
  4. Step 4: Simplify right side
    1,321.53x = 2,448,111.09
  5. Step 5: Solve for x
    x = 2,448,111.09/1,321.53
  6. Step 6: Final answer
    x = 1,852.48

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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.