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Finding the Fourth Proportional to 1,393.06, 1,922.80 and 921.02

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Solution

The fourth proportional to 1,393.06, 1,922.80 and 921.02 is: 1,271.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.06 : 1,922.80 = 921.02 : x
  2. Step 2: Convert to fraction form
    1,393.06/1,922.80 = 921.02/x
  3. Step 3: Cross multiply
    1,393.06x = 1,922.80 × 921.02
  4. Step 4: Simplify right side
    1,393.06x = 1,770,937.26
  5. Step 5: Solve for x
    x = 1,770,937.26/1,393.06
  6. Step 6: Final answer
    x = 1,271.26

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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.