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Finding the Fourth Proportional to 6,486.32, 9,709.36 and 5,243.36

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Solution

The fourth proportional to 6,486.32, 9,709.36 and 5,243.36 is: 7,848.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.32 : 9,709.36 = 5,243.36 : x
  2. Step 2: Convert to fraction form
    6,486.32/9,709.36 = 5,243.36/x
  3. Step 3: Cross multiply
    6,486.32x = 9,709.36 × 5,243.36
  4. Step 4: Simplify right side
    6,486.32x = 50,909,669.85
  5. Step 5: Solve for x
    x = 50,909,669.85/6,486.32
  6. Step 6: Final answer
    x = 7,848.78

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1.5x scale

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.