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Finding the Fourth Proportional to 1,941.98, 2,911.93 and 771.93

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Solution

The fourth proportional to 1,941.98, 2,911.93 and 771.93 is: 1,157.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941.98 : 2,911.93 = 771.93 : x
  2. Step 2: Convert to fraction form
    1,941.98/2,911.93 = 771.93/x
  3. Step 3: Cross multiply
    1,941.98x = 2,911.93 × 771.93
  4. Step 4: Simplify right side
    1,941.98x = 2,247,815.11
  5. Step 5: Solve for x
    x = 2,247,815.11/1,941.98
  6. Step 6: Final answer
    x = 1,157.49

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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.