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Finding the Fourth Proportional to 4,889.60, 7,344.16 and 2,945.60

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Solution

The fourth proportional to 4,889.60, 7,344.16 and 2,945.60 is: 4,424.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,889.60 : 7,344.16 = 2,945.60 : x
  2. Step 2: Convert to fraction form
    4,889.60/7,344.16 = 2,945.60/x
  3. Step 3: Cross multiply
    4,889.60x = 7,344.16 × 2,945.60
  4. Step 4: Simplify right side
    4,889.60x = 21,632,957.70
  5. Step 5: Solve for x
    x = 21,632,957.70/4,889.60
  6. Step 6: Final answer
    x = 4,424.28

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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.