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Finding the Fourth Proportional to 5,814, 8,017.89 and 4,485.60

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Solution

The fourth proportional to 5,814, 8,017.89 and 4,485.60 is: 6,185.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,814 : 8,017.89 = 4,485.60 : x
  2. Step 2: Convert to fraction form
    5,814/8,017.89 = 4,485.60/x
  3. Step 3: Cross multiply
    5,814x = 8,017.89 × 4,485.60
  4. Step 4: Simplify right side
    5,814x = 35,965,047.38
  5. Step 5: Solve for x
    x = 35,965,047.38/5,814
  6. Step 6: Final answer
    x = 6,185.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.