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Finding the Fourth Proportional to 6,471.50, 8,931.41 and 3,638.98

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Solution

The fourth proportional to 6,471.50, 8,931.41 and 3,638.98 is: 5,022.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.50 : 8,931.41 = 3,638.98 : x
  2. Step 2: Convert to fraction form
    6,471.50/8,931.41 = 3,638.98/x
  3. Step 3: Cross multiply
    6,471.50x = 8,931.41 × 3,638.98
  4. Step 4: Simplify right side
    6,471.50x = 32,501,199.21
  5. Step 5: Solve for x
    x = 32,501,199.21/6,471.50
  6. Step 6: Final answer
    x = 5,022.21

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