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Finding the Fourth Proportional to 4,149, 6,223.50 and 1,071

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Solution

The fourth proportional to 4,149, 6,223.50 and 1,071 is: 1,606.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,149 : 6,223.50 = 1,071 : x
  2. Step 2: Convert to fraction form
    4,149/6,223.50 = 1,071/x
  3. Step 3: Cross multiply
    4,149x = 6,223.50 × 1,071
  4. Step 4: Simplify right side
    4,149x = 6,665,368.50
  5. Step 5: Solve for x
    x = 6,665,368.50/4,149
  6. Step 6: Final answer
    x = 1,606.50

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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.