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Finding the Fourth Proportional to 4,801.32, 7,200.72 and 1,878

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Solution

The fourth proportional to 4,801.32, 7,200.72 and 1,878 is: 2,816.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,801.32 : 7,200.72 = 1,878 : x
  2. Step 2: Convert to fraction form
    4,801.32/7,200.72 = 1,878/x
  3. Step 3: Cross multiply
    4,801.32x = 7,200.72 × 1,878
  4. Step 4: Simplify right side
    4,801.32x = 13,522,952.16
  5. Step 5: Solve for x
    x = 13,522,952.16/4,801.32
  6. Step 6: Final answer
    x = 2,816.51

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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.