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Finding the Fourth Proportional to 4,652.40, 6,978.60 and 2,709.60

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Solution

The fourth proportional to 4,652.40, 6,978.60 and 2,709.60 is: 4,064.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.40 : 6,978.60 = 2,709.60 : x
  2. Step 2: Convert to fraction form
    4,652.40/6,978.60 = 2,709.60/x
  3. Step 3: Cross multiply
    4,652.40x = 6,978.60 × 2,709.60
  4. Step 4: Simplify right side
    4,652.40x = 18,909,214.56
  5. Step 5: Solve for x
    x = 18,909,214.56/4,652.40
  6. Step 6: Final answer
    x = 4,064.40

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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.