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Finding the Fourth Proportional to 2,110.88, 3,163.98 and 877.64

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Solution

The fourth proportional to 2,110.88, 3,163.98 and 877.64 is: 1,315.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.88 : 3,163.98 = 877.64 : x
  2. Step 2: Convert to fraction form
    2,110.88/3,163.98 = 877.64/x
  3. Step 3: Cross multiply
    2,110.88x = 3,163.98 × 877.64
  4. Step 4: Simplify right side
    2,110.88x = 2,776,835.41
  5. Step 5: Solve for x
    x = 2,776,835.41/2,110.88
  6. Step 6: Final answer
    x = 1,315.49

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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.