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Finding the Fourth Proportional to 4,762.88, 7,144.25 and 2,889.21

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Solution

The fourth proportional to 4,762.88, 7,144.25 and 2,889.21 is: 4,333.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.88 : 7,144.25 = 2,889.21 : x
  2. Step 2: Convert to fraction form
    4,762.88/7,144.25 = 2,889.21/x
  3. Step 3: Cross multiply
    4,762.88x = 7,144.25 × 2,889.21
  4. Step 4: Simplify right side
    4,762.88x = 20,641,224.10
  5. Step 5: Solve for x
    x = 20,641,224.10/4,762.88
  6. Step 6: Final answer
    x = 4,333.77

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1.5x scale

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.