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Finding the Fourth Proportional to 2,905.76, 4,359 and 957.44

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Solution

The fourth proportional to 2,905.76, 4,359 and 957.44 is: 1,436.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,905.76 : 4,359 = 957.44 : x
  2. Step 2: Convert to fraction form
    2,905.76/4,359 = 957.44/x
  3. Step 3: Cross multiply
    2,905.76x = 4,359 × 957.44
  4. Step 4: Simplify right side
    2,905.76x = 4,173,480.96
  5. Step 5: Solve for x
    x = 4,173,480.96/2,905.76
  6. Step 6: Final answer
    x = 1,436.28

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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.