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Finding the Fourth Proportional to 5,294.06, 7,941.57 and 1,398.47

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Solution

The fourth proportional to 5,294.06, 7,941.57 and 1,398.47 is: 2,097.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.06 : 7,941.57 = 1,398.47 : x
  2. Step 2: Convert to fraction form
    5,294.06/7,941.57 = 1,398.47/x
  3. Step 3: Cross multiply
    5,294.06x = 7,941.57 × 1,398.47
  4. Step 4: Simplify right side
    5,294.06x = 11,106,032.23
  5. Step 5: Solve for x
    x = 11,106,032.23/5,294.06
  6. Step 6: Final answer
    x = 2,097.83

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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.