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Finding the Fourth Proportional to 2,661.32, 3,673.07 and 2,030.66

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Solution

The fourth proportional to 2,661.32, 3,673.07 and 2,030.66 is: 2,802.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.32 : 3,673.07 = 2,030.66 : x
  2. Step 2: Convert to fraction form
    2,661.32/3,673.07 = 2,030.66/x
  3. Step 3: Cross multiply
    2,661.32x = 3,673.07 × 2,030.66
  4. Step 4: Simplify right side
    2,661.32x = 7,458,743.04
  5. Step 5: Solve for x
    x = 7,458,743.04/2,661.32
  6. Step 6: Final answer
    x = 2,802.65

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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.