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Finding the Fourth Proportional to 4,782.03, 7,167.78 and 1,857.93

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Solution

The fourth proportional to 4,782.03, 7,167.78 and 1,857.93 is: 2,784.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.03 : 7,167.78 = 1,857.93 : x
  2. Step 2: Convert to fraction form
    4,782.03/7,167.78 = 1,857.93/x
  3. Step 3: Cross multiply
    4,782.03x = 7,167.78 × 1,857.93
  4. Step 4: Simplify right side
    4,782.03x = 13,317,233.50
  5. Step 5: Solve for x
    x = 13,317,233.50/4,782.03
  6. Step 6: Final answer
    x = 2,784.85

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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.