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Finding the Fourth Proportional to 1,946.17, 2,918.63 and 629.64

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Solution

The fourth proportional to 1,946.17, 2,918.63 and 629.64 is: 944.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.17 : 2,918.63 = 629.64 : x
  2. Step 2: Convert to fraction form
    1,946.17/2,918.63 = 629.64/x
  3. Step 3: Cross multiply
    1,946.17x = 2,918.63 × 629.64
  4. Step 4: Simplify right side
    1,946.17x = 1,837,684.23
  5. Step 5: Solve for x
    x = 1,837,684.23/1,946.17
  6. Step 6: Final answer
    x = 944.26

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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.