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Finding the Fourth Proportional to 3,164.57, 4,749.74 and 1,605.64

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Solution

The fourth proportional to 3,164.57, 4,749.74 and 1,605.64 is: 2,409.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.57 : 4,749.74 = 1,605.64 : x
  2. Step 2: Convert to fraction form
    3,164.57/4,749.74 = 1,605.64/x
  3. Step 3: Cross multiply
    3,164.57x = 4,749.74 × 1,605.64
  4. Step 4: Simplify right side
    3,164.57x = 7,626,364.51
  5. Step 5: Solve for x
    x = 7,626,364.51/3,164.57
  6. Step 6: Final answer
    x = 2,409.93

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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.