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Finding the Fourth Proportional to 4,652, 6,978 and 1,189.26

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Solution

The fourth proportional to 4,652, 6,978 and 1,189.26 is: 1,783.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652 : 6,978 = 1,189.26 : x
  2. Step 2: Convert to fraction form
    4,652/6,978 = 1,189.26/x
  3. Step 3: Cross multiply
    4,652x = 6,978 × 1,189.26
  4. Step 4: Simplify right side
    4,652x = 8,298,656.28
  5. Step 5: Solve for x
    x = 8,298,656.28/4,652
  6. Step 6: Final answer
    x = 1,783.89

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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.