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Finding the Fourth Proportional to 6,487.74, 8,943.75 and 4,621.50

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Solution

The fourth proportional to 6,487.74, 8,943.75 and 4,621.50 is: 6,371.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,487.74 : 8,943.75 = 4,621.50 : x
  2. Step 2: Convert to fraction form
    6,487.74/8,943.75 = 4,621.50/x
  3. Step 3: Cross multiply
    6,487.74x = 8,943.75 × 4,621.50
  4. Step 4: Simplify right side
    6,487.74x = 41,333,540.63
  5. Step 5: Solve for x
    x = 41,333,540.63/6,487.74
  6. Step 6: Final answer
    x = 6,371.02

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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.