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Finding the Fourth Proportional to 5,189.77, 7,784.08 and 1,857.88

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Solution

The fourth proportional to 5,189.77, 7,784.08 and 1,857.88 is: 2,786.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.77 : 7,784.08 = 1,857.88 : x
  2. Step 2: Convert to fraction form
    5,189.77/7,784.08 = 1,857.88/x
  3. Step 3: Cross multiply
    5,189.77x = 7,784.08 × 1,857.88
  4. Step 4: Simplify right side
    5,189.77x = 14,461,886.55
  5. Step 5: Solve for x
    x = 14,461,886.55/5,189.77
  6. Step 6: Final answer
    x = 2,786.61

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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.