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Finding the Fourth Proportional to 1,393.04, 1,923 and 922.16

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Solution

The fourth proportional to 1,393.04, 1,923 and 922.16 is: 1,272.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.04 : 1,923 = 922.16 : x
  2. Step 2: Convert to fraction form
    1,393.04/1,923 = 922.16/x
  3. Step 3: Cross multiply
    1,393.04x = 1,923 × 922.16
  4. Step 4: Simplify right side
    1,393.04x = 1,773,313.68
  5. Step 5: Solve for x
    x = 1,773,313.68/1,393.04
  6. Step 6: Final answer
    x = 1,272.98

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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.