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Finding the Fourth Proportional to 4,889.88, 7,334.10 and 1,427.22

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Solution

The fourth proportional to 4,889.88, 7,334.10 and 1,427.22 is: 2,140.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,889.88 : 7,334.10 = 1,427.22 : x
  2. Step 2: Convert to fraction form
    4,889.88/7,334.10 = 1,427.22/x
  3. Step 3: Cross multiply
    4,889.88x = 7,334.10 × 1,427.22
  4. Step 4: Simplify right side
    4,889.88x = 10,467,374.20
  5. Step 5: Solve for x
    x = 10,467,374.20/4,889.88
  6. Step 6: Final answer
    x = 2,140.62

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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.