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Finding the Fourth Proportional to 5,289.07, 7,934.30 and 1,956.86

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Solution

The fourth proportional to 5,289.07, 7,934.30 and 1,956.86 is: 2,935.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,289.07 : 7,934.30 = 1,956.86 : x
  2. Step 2: Convert to fraction form
    5,289.07/7,934.30 = 1,956.86/x
  3. Step 3: Cross multiply
    5,289.07x = 7,934.30 × 1,956.86
  4. Step 4: Simplify right side
    5,289.07x = 15,526,331.69
  5. Step 5: Solve for x
    x = 15,526,331.69/5,289.07
  6. Step 6: Final answer
    x = 2,935.55

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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.