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Finding the Fourth Proportional to 2,880.21, 4,320.31 and 906.01

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Solution

The fourth proportional to 2,880.21, 4,320.31 and 906.01 is: 1,359.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,880.21 : 4,320.31 = 906.01 : x
  2. Step 2: Convert to fraction form
    2,880.21/4,320.31 = 906.01/x
  3. Step 3: Cross multiply
    2,880.21x = 4,320.31 × 906.01
  4. Step 4: Simplify right side
    2,880.21x = 3,914,258.70
  5. Step 5: Solve for x
    x = 3,914,258.70/2,880.21
  6. Step 6: Final answer
    x = 1,359.02

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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.