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Finding the Fourth Proportional to 2,526.55, 3,789.74 and 771.49

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Solution

The fourth proportional to 2,526.55, 3,789.74 and 771.49 is: 1,157.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,526.55 : 3,789.74 = 771.49 : x
  2. Step 2: Convert to fraction form
    2,526.55/3,789.74 = 771.49/x
  3. Step 3: Cross multiply
    2,526.55x = 3,789.74 × 771.49
  4. Step 4: Simplify right side
    2,526.55x = 2,923,746.51
  5. Step 5: Solve for x
    x = 2,923,746.51/2,526.55
  6. Step 6: Final answer
    x = 1,157.21

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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.