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Finding the Fourth Proportional to 1,392.34, 1,921.34 and 762.86

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Solution

The fourth proportional to 1,392.34, 1,921.34 and 762.86 is: 1,052.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.34 : 1,921.34 = 762.86 : x
  2. Step 2: Convert to fraction form
    1,392.34/1,921.34 = 762.86/x
  3. Step 3: Cross multiply
    1,392.34x = 1,921.34 × 762.86
  4. Step 4: Simplify right side
    1,392.34x = 1,465,720.14
  5. Step 5: Solve for x
    x = 1,465,720.14/1,392.34
  6. Step 6: Final answer
    x = 1,052.70

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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.