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Finding the Fourth Proportional to 2,171.94, 2,971.62 and 2,162.76

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Solution

The fourth proportional to 2,171.94, 2,971.62 and 2,162.76 is: 2,959.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.94 : 2,971.62 = 2,162.76 : x
  2. Step 2: Convert to fraction form
    2,171.94/2,971.62 = 2,162.76/x
  3. Step 3: Cross multiply
    2,171.94x = 2,971.62 × 2,162.76
  4. Step 4: Simplify right side
    2,171.94x = 6,426,900.87
  5. Step 5: Solve for x
    x = 6,426,900.87/2,171.94
  6. Step 6: Final answer
    x = 2,959.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.