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Finding the Fourth Proportional to 4,647.05, 6,965.27 and 1,871.94

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Solution

The fourth proportional to 4,647.05, 6,965.27 and 1,871.94 is: 2,805.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.05 : 6,965.27 = 1,871.94 : x
  2. Step 2: Convert to fraction form
    4,647.05/6,965.27 = 1,871.94/x
  3. Step 3: Cross multiply
    4,647.05x = 6,965.27 × 1,871.94
  4. Step 4: Simplify right side
    4,647.05x = 13,038,558.16
  5. Step 5: Solve for x
    x = 13,038,558.16/4,647.05
  6. Step 6: Final answer
    x = 2,805.77

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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.