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Finding the Fourth Proportional to 6,484.70, 8,947.26 and 3,651.50

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Solution

The fourth proportional to 6,484.70, 8,947.26 and 3,651.50 is: 5,038.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.70 : 8,947.26 = 3,651.50 : x
  2. Step 2: Convert to fraction form
    6,484.70/8,947.26 = 3,651.50/x
  3. Step 3: Cross multiply
    6,484.70x = 8,947.26 × 3,651.50
  4. Step 4: Simplify right side
    6,484.70x = 32,670,919.89
  5. Step 5: Solve for x
    x = 32,670,919.89/6,484.70
  6. Step 6: Final answer
    x = 5,038.15

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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.