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Finding the Fourth Proportional to 2,064.78, 2,849.45 and 1,180.67

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Solution

The fourth proportional to 2,064.78, 2,849.45 and 1,180.67 is: 1,629.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.78 : 2,849.45 = 1,180.67 : x
  2. Step 2: Convert to fraction form
    2,064.78/2,849.45 = 1,180.67/x
  3. Step 3: Cross multiply
    2,064.78x = 2,849.45 × 1,180.67
  4. Step 4: Simplify right side
    2,064.78x = 3,364,239.98
  5. Step 5: Solve for x
    x = 3,364,239.98/2,064.78
  6. Step 6: Final answer
    x = 1,629.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.