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Finding the Fourth Proportional to 4,652.30, 6,978.42 and 1,189.55

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Solution

The fourth proportional to 4,652.30, 6,978.42 and 1,189.55 is: 1,784.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.30 : 6,978.42 = 1,189.55 : x
  2. Step 2: Convert to fraction form
    4,652.30/6,978.42 = 1,189.55/x
  3. Step 3: Cross multiply
    4,652.30x = 6,978.42 × 1,189.55
  4. Step 4: Simplify right side
    4,652.30x = 8,301,144.62
  5. Step 5: Solve for x
    x = 8,301,144.62/4,652.30
  6. Step 6: Final answer
    x = 1,784.31

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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.