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Finding the Fourth Proportional to 5,318.70, 7,978.07 and 1,855.95

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Solution

The fourth proportional to 5,318.70, 7,978.07 and 1,855.95 is: 2,783.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,318.70 : 7,978.07 = 1,855.95 : x
  2. Step 2: Convert to fraction form
    5,318.70/7,978.07 = 1,855.95/x
  3. Step 3: Cross multiply
    5,318.70x = 7,978.07 × 1,855.95
  4. Step 4: Simplify right side
    5,318.70x = 14,806,899.02
  5. Step 5: Solve for x
    x = 14,806,899.02/5,318.70
  6. Step 6: Final answer
    x = 2,783.93

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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.