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Finding the Fourth Proportional to 1,392.81, 1,921.28 and 1,157.91

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Solution

The fourth proportional to 1,392.81, 1,921.28 and 1,157.91 is: 1,597.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.81 : 1,921.28 = 1,157.91 : x
  2. Step 2: Convert to fraction form
    1,392.81/1,921.28 = 1,157.91/x
  3. Step 3: Cross multiply
    1,392.81x = 1,921.28 × 1,157.91
  4. Step 4: Simplify right side
    1,392.81x = 2,224,663.54
  5. Step 5: Solve for x
    x = 2,224,663.54/1,392.81
  6. Step 6: Final answer
    x = 1,597.25

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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.