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Finding the Fourth Proportional to 6,653, 9,978.72 and 4,180.52

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Solution

The fourth proportional to 6,653, 9,978.72 and 4,180.52 is: 6,270.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,653 : 9,978.72 = 4,180.52 : x
  2. Step 2: Convert to fraction form
    6,653/9,978.72 = 4,180.52/x
  3. Step 3: Cross multiply
    6,653x = 9,978.72 × 4,180.52
  4. Step 4: Simplify right side
    6,653x = 41,716,238.53
  5. Step 5: Solve for x
    x = 41,716,238.53/6,653
  6. Step 6: Final answer
    x = 6,270.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.