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Finding the Fourth Proportional to 2,116.58, 3,173.88 and 655.39

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Solution

The fourth proportional to 2,116.58, 3,173.88 and 655.39 is: 982.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.58 : 3,173.88 = 655.39 : x
  2. Step 2: Convert to fraction form
    2,116.58/3,173.88 = 655.39/x
  3. Step 3: Cross multiply
    2,116.58x = 3,173.88 × 655.39
  4. Step 4: Simplify right side
    2,116.58x = 2,080,110.07
  5. Step 5: Solve for x
    x = 2,080,110.07/2,116.58
  6. Step 6: Final answer
    x = 982.77

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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.