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Finding the Fourth Proportional to 2,048.32, 3,072.53 and 661.77

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Solution

The fourth proportional to 2,048.32, 3,072.53 and 661.77 is: 992.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.32 : 3,072.53 = 661.77 : x
  2. Step 2: Convert to fraction form
    2,048.32/3,072.53 = 661.77/x
  3. Step 3: Cross multiply
    2,048.32x = 3,072.53 × 661.77
  4. Step 4: Simplify right side
    2,048.32x = 2,033,309.83
  5. Step 5: Solve for x
    x = 2,033,309.83/2,048.32
  6. Step 6: Final answer
    x = 992.67

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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.