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Finding the Fourth Proportional to 4,785.06, 7,178 and 1,322.31

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Solution

The fourth proportional to 4,785.06, 7,178 and 1,322.31 is: 1,983.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,785.06 : 7,178 = 1,322.31 : x
  2. Step 2: Convert to fraction form
    4,785.06/7,178 = 1,322.31/x
  3. Step 3: Cross multiply
    4,785.06x = 7,178 × 1,322.31
  4. Step 4: Simplify right side
    4,785.06x = 9,491,541.18
  5. Step 5: Solve for x
    x = 9,491,541.18/4,785.06
  6. Step 6: Final answer
    x = 1,983.58

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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.