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Finding the Fourth Proportional to 5,294.70, 7,941.51 and 1,399.14

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Solution

The fourth proportional to 5,294.70, 7,941.51 and 1,399.14 is: 2,098.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.70 : 7,941.51 = 1,399.14 : x
  2. Step 2: Convert to fraction form
    5,294.70/7,941.51 = 1,399.14/x
  3. Step 3: Cross multiply
    5,294.70x = 7,941.51 × 1,399.14
  4. Step 4: Simplify right side
    5,294.70x = 11,111,284.30
  5. Step 5: Solve for x
    x = 11,111,284.30/5,294.70
  6. Step 6: Final answer
    x = 2,098.57

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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.