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Finding the Fourth Proportional to 1,292.06, 1,938.44 and 830.06

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Solution

The fourth proportional to 1,292.06, 1,938.44 and 830.06 is: 1,245.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.06 : 1,938.44 = 830.06 : x
  2. Step 2: Convert to fraction form
    1,292.06/1,938.44 = 830.06/x
  3. Step 3: Cross multiply
    1,292.06x = 1,938.44 × 830.06
  4. Step 4: Simplify right side
    1,292.06x = 1,609,007.66
  5. Step 5: Solve for x
    x = 1,609,007.66/1,292.06
  6. Step 6: Final answer
    x = 1,245.31

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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.