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Finding the Fourth Proportional to 2,903.94, 4,007.71 and 1,785.61

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Solution

The fourth proportional to 2,903.94, 4,007.71 and 1,785.61 is: 2,464.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.94 : 4,007.71 = 1,785.61 : x
  2. Step 2: Convert to fraction form
    2,903.94/4,007.71 = 1,785.61/x
  3. Step 3: Cross multiply
    2,903.94x = 4,007.71 × 1,785.61
  4. Step 4: Simplify right side
    2,903.94x = 7,156,214.29
  5. Step 5: Solve for x
    x = 7,156,214.29/2,903.94
  6. Step 6: Final answer
    x = 2,464.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.