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Finding the Fourth Proportional to 2,645.48, 3,963.80 and 1,602.32

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Solution

The fourth proportional to 2,645.48, 3,963.80 and 1,602.32 is: 2,400.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.48 : 3,963.80 = 1,602.32 : x
  2. Step 2: Convert to fraction form
    2,645.48/3,963.80 = 1,602.32/x
  3. Step 3: Cross multiply
    2,645.48x = 3,963.80 × 1,602.32
  4. Step 4: Simplify right side
    2,645.48x = 6,351,276.02
  5. Step 5: Solve for x
    x = 6,351,276.02/2,645.48
  6. Step 6: Final answer
    x = 2,400.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.