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Finding the Fourth Proportional to 6,978.63, 9,633.03 and 4,621.53

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Solution

The fourth proportional to 6,978.63, 9,633.03 and 4,621.53 is: 6,379.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.63 : 9,633.03 = 4,621.53 : x
  2. Step 2: Convert to fraction form
    6,978.63/9,633.03 = 4,621.53/x
  3. Step 3: Cross multiply
    6,978.63x = 9,633.03 × 4,621.53
  4. Step 4: Simplify right side
    6,978.63x = 44,519,337.14
  5. Step 5: Solve for x
    x = 44,519,337.14/6,978.63
  6. Step 6: Final answer
    x = 6,379.38

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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.