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Finding the Fourth Proportional to 2,825.94, 4,237.54 and 976.40

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Solution

The fourth proportional to 2,825.94, 4,237.54 and 976.40 is: 1,464.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825.94 : 4,237.54 = 976.40 : x
  2. Step 2: Convert to fraction form
    2,825.94/4,237.54 = 976.40/x
  3. Step 3: Cross multiply
    2,825.94x = 4,237.54 × 976.40
  4. Step 4: Simplify right side
    2,825.94x = 4,137,542.21
  5. Step 5: Solve for x
    x = 4,137,542.21/2,825.94
  6. Step 6: Final answer
    x = 1,464.13

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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.