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Finding the Fourth Proportional to 4,946.72, 7,420.76 and 1,659.39

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Solution

The fourth proportional to 4,946.72, 7,420.76 and 1,659.39 is: 2,489.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946.72 : 7,420.76 = 1,659.39 : x
  2. Step 2: Convert to fraction form
    4,946.72/7,420.76 = 1,659.39/x
  3. Step 3: Cross multiply
    4,946.72x = 7,420.76 × 1,659.39
  4. Step 4: Simplify right side
    4,946.72x = 12,313,914.37
  5. Step 5: Solve for x
    x = 12,313,914.37/4,946.72
  6. Step 6: Final answer
    x = 2,489.31

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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.