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Finding the Fourth Proportional to 6,297.18, 8,688 and 3,643.62

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Solution

The fourth proportional to 6,297.18, 8,688 and 3,643.62 is: 5,026.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.18 : 8,688 = 3,643.62 : x
  2. Step 2: Convert to fraction form
    6,297.18/8,688 = 3,643.62/x
  3. Step 3: Cross multiply
    6,297.18x = 8,688 × 3,643.62
  4. Step 4: Simplify right side
    6,297.18x = 31,655,770.56
  5. Step 5: Solve for x
    x = 31,655,770.56/6,297.18
  6. Step 6: Final answer
    x = 5,026.98

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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.