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Finding the Fourth Proportional to 11,003.58, 16,507.80 and 5,157

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Solution

The fourth proportional to 11,003.58, 16,507.80 and 5,157 is: 7,736.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,003.58 : 16,507.80 = 5,157 : x
  2. Step 2: Convert to fraction form
    11,003.58/16,507.80 = 5,157/x
  3. Step 3: Cross multiply
    11,003.58x = 16,507.80 × 5,157
  4. Step 4: Simplify right side
    11,003.58x = 85,130,724.60
  5. Step 5: Solve for x
    x = 85,130,724.60/11,003.58
  6. Step 6: Final answer
    x = 7,736.64

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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.