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Finding the Fourth Proportional to 1,928.10, 2,892.15 and 629.70

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Solution

The fourth proportional to 1,928.10, 2,892.15 and 629.70 is: 944.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.10 : 2,892.15 = 629.70 : x
  2. Step 2: Convert to fraction form
    1,928.10/2,892.15 = 629.70/x
  3. Step 3: Cross multiply
    1,928.10x = 2,892.15 × 629.70
  4. Step 4: Simplify right side
    1,928.10x = 1,821,186.86
  5. Step 5: Solve for x
    x = 1,821,186.86/1,928.10
  6. Step 6: Final answer
    x = 944.55

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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.