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Finding the Fourth Proportional to 4,642, 6,405.76 and 2,652.48

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Solution

The fourth proportional to 4,642, 6,405.76 and 2,652.48 is: 3,660.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642 : 6,405.76 = 2,652.48 : x
  2. Step 2: Convert to fraction form
    4,642/6,405.76 = 2,652.48/x
  3. Step 3: Cross multiply
    4,642x = 6,405.76 × 2,652.48
  4. Step 4: Simplify right side
    4,642x = 16,991,150.28
  5. Step 5: Solve for x
    x = 16,991,150.28/4,642
  6. Step 6: Final answer
    x = 3,660.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.