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Finding the Fourth Proportional to 6,495.36, 9,744 and 1,877.76

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Solution

The fourth proportional to 6,495.36, 9,744 and 1,877.76 is: 2,816.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,495.36 : 9,744 = 1,877.76 : x
  2. Step 2: Convert to fraction form
    6,495.36/9,744 = 1,877.76/x
  3. Step 3: Cross multiply
    6,495.36x = 9,744 × 1,877.76
  4. Step 4: Simplify right side
    6,495.36x = 18,296,893.44
  5. Step 5: Solve for x
    x = 18,296,893.44/6,495.36
  6. Step 6: Final answer
    x = 2,816.92

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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.