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Finding the Fourth Proportional to 5,639.87, 8,457.72 and 1,941.08

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Solution

The fourth proportional to 5,639.87, 8,457.72 and 1,941.08 is: 2,910.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,639.87 : 8,457.72 = 1,941.08 : x
  2. Step 2: Convert to fraction form
    5,639.87/8,457.72 = 1,941.08/x
  3. Step 3: Cross multiply
    5,639.87x = 8,457.72 × 1,941.08
  4. Step 4: Simplify right side
    5,639.87x = 16,417,111.14
  5. Step 5: Solve for x
    x = 16,417,111.14/5,639.87
  6. Step 6: Final answer
    x = 2,910.90

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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.