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Finding the Fourth Proportional to 6,503.66, 8,975.06 and 3,519.50

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Solution

The fourth proportional to 6,503.66, 8,975.06 and 3,519.50 is: 4,856.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.66 : 8,975.06 = 3,519.50 : x
  2. Step 2: Convert to fraction form
    6,503.66/8,975.06 = 3,519.50/x
  3. Step 3: Cross multiply
    6,503.66x = 8,975.06 × 3,519.50
  4. Step 4: Simplify right side
    6,503.66x = 31,587,723.67
  5. Step 5: Solve for x
    x = 31,587,723.67/6,503.66
  6. Step 6: Final answer
    x = 4,856.91

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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.