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Finding the Fourth Proportional to 5,198.00, 7,800.07 and 1,913.40

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Solution

The fourth proportional to 5,198.00, 7,800.07 and 1,913.40 is: 2,871.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.00 : 7,800.07 = 1,913.40 : x
  2. Step 2: Convert to fraction form
    5,198.00/7,800.07 = 1,913.40/x
  3. Step 3: Cross multiply
    5,198.00x = 7,800.07 × 1,913.40
  4. Step 4: Simplify right side
    5,198.00x = 14,924,605.37
  5. Step 5: Solve for x
    x = 14,924,605.37/5,198.00
  6. Step 6: Final answer
    x = 2,871.22

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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.