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Finding the Fourth Proportional to 4,653.08, 6,978.54 and 2,189.60

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Solution

The fourth proportional to 4,653.08, 6,978.54 and 2,189.60 is: 3,283.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653.08 : 6,978.54 = 2,189.60 : x
  2. Step 2: Convert to fraction form
    4,653.08/6,978.54 = 2,189.60/x
  3. Step 3: Cross multiply
    4,653.08x = 6,978.54 × 2,189.60
  4. Step 4: Simplify right side
    4,653.08x = 15,280,211.18
  5. Step 5: Solve for x
    x = 15,280,211.18/4,653.08
  6. Step 6: Final answer
    x = 3,283.89

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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.