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Finding the Fourth Proportional to 11,240.94, 16,848.24 and 8,458.68

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Solution

The fourth proportional to 11,240.94, 16,848.24 and 8,458.68 is: 12,678.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,240.94 : 16,848.24 = 8,458.68 : x
  2. Step 2: Convert to fraction form
    11,240.94/16,848.24 = 8,458.68/x
  3. Step 3: Cross multiply
    11,240.94x = 16,848.24 × 8,458.68
  4. Step 4: Simplify right side
    11,240.94x = 142,513,870.72
  5. Step 5: Solve for x
    x = 142,513,870.72/11,240.94
  6. Step 6: Final answer
    x = 12,678.11

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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.