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Finding the Fourth Proportional to 4,863, 7,295.58 and 1,785

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Solution

The fourth proportional to 4,863, 7,295.58 and 1,785 is: 2,677.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,863 : 7,295.58 = 1,785 : x
  2. Step 2: Convert to fraction form
    4,863/7,295.58 = 1,785/x
  3. Step 3: Cross multiply
    4,863x = 7,295.58 × 1,785
  4. Step 4: Simplify right side
    4,863x = 13,022,610.30
  5. Step 5: Solve for x
    x = 13,022,610.30/4,863
  6. Step 6: Final answer
    x = 2,677.90

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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.