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Finding the Fourth Proportional to 11,818.56, 16,316.16 and 7,104

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Solution

The fourth proportional to 11,818.56, 16,316.16 and 7,104 is: 9,807.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,818.56 : 16,316.16 = 7,104 : x
  2. Step 2: Convert to fraction form
    11,818.56/16,316.16 = 7,104/x
  3. Step 3: Cross multiply
    11,818.56x = 16,316.16 × 7,104
  4. Step 4: Simplify right side
    11,818.56x = 115,910,000.64
  5. Step 5: Solve for x
    x = 115,910,000.64/11,818.56
  6. Step 6: Final answer
    x = 9,807.46

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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.