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Finding the Fourth Proportional to 2,969.47, 4,460.18 and 1,785.86

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Solution

The fourth proportional to 2,969.47, 4,460.18 and 1,785.86 is: 2,682.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.47 : 4,460.18 = 1,785.86 : x
  2. Step 2: Convert to fraction form
    2,969.47/4,460.18 = 1,785.86/x
  3. Step 3: Cross multiply
    2,969.47x = 4,460.18 × 1,785.86
  4. Step 4: Simplify right side
    2,969.47x = 7,965,257.05
  5. Step 5: Solve for x
    x = 7,965,257.05/2,969.47
  6. Step 6: Final answer
    x = 2,682.38

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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.