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Finding the Fourth Proportional to 9,800.64, 13,519.44 and 6,444

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Solution

The fourth proportional to 9,800.64, 13,519.44 and 6,444 is: 8,889.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,800.64 : 13,519.44 = 6,444 : x
  2. Step 2: Convert to fraction form
    9,800.64/13,519.44 = 6,444/x
  3. Step 3: Cross multiply
    9,800.64x = 13,519.44 × 6,444
  4. Step 4: Simplify right side
    9,800.64x = 87,119,271.36
  5. Step 5: Solve for x
    x = 87,119,271.36/9,800.64
  6. Step 6: Final answer
    x = 8,889.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.