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Finding the Fourth Proportional to 7,872.63, 11,798.19 and 4,357.41

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Solution

The fourth proportional to 7,872.63, 11,798.19 and 4,357.41 is: 6,530.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.63 : 11,798.19 = 4,357.41 : x
  2. Step 2: Convert to fraction form
    7,872.63/11,798.19 = 4,357.41/x
  3. Step 3: Cross multiply
    7,872.63x = 11,798.19 × 4,357.41
  4. Step 4: Simplify right side
    7,872.63x = 51,409,551.09
  5. Step 5: Solve for x
    x = 51,409,551.09/7,872.63
  6. Step 6: Final answer
    x = 6,530.16

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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.