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Finding the Fourth Proportional to 2,661.59, 3,670.29 and 2,162.22

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Solution

The fourth proportional to 2,661.59, 3,670.29 and 2,162.22 is: 2,981.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.59 : 3,670.29 = 2,162.22 : x
  2. Step 2: Convert to fraction form
    2,661.59/3,670.29 = 2,162.22/x
  3. Step 3: Cross multiply
    2,661.59x = 3,670.29 × 2,162.22
  4. Step 4: Simplify right side
    2,661.59x = 7,935,974.44
  5. Step 5: Solve for x
    x = 7,935,974.44/2,661.59
  6. Step 6: Final answer
    x = 2,981.67

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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.