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Finding the Fourth Proportional to 4,652.40, 6,978.54 and 1,189.64

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Solution

The fourth proportional to 4,652.40, 6,978.54 and 1,189.64 is: 1,784.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.40 : 6,978.54 = 1,189.64 : x
  2. Step 2: Convert to fraction form
    4,652.40/6,978.54 = 1,189.64/x
  3. Step 3: Cross multiply
    4,652.40x = 6,978.54 × 1,189.64
  4. Step 4: Simplify right side
    4,652.40x = 8,301,950.33
  5. Step 5: Solve for x
    x = 8,301,950.33/4,652.40
  6. Step 6: Final answer
    x = 1,784.44

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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.