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Finding the Fourth Proportional to 6,513, 9,771.12 and 1,896

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Solution

The fourth proportional to 6,513, 9,771.12 and 1,896 is: 2,844.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513 : 9,771.12 = 1,896 : x
  2. Step 2: Convert to fraction form
    6,513/9,771.12 = 1,896/x
  3. Step 3: Cross multiply
    6,513x = 9,771.12 × 1,896
  4. Step 4: Simplify right side
    6,513x = 18,526,043.52
  5. Step 5: Solve for x
    x = 18,526,043.52/6,513
  6. Step 6: Final answer
    x = 2,844.47

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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.