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Finding the Fourth Proportional to 11,803, 17,704.50 and 4,877.68

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Solution

The fourth proportional to 11,803, 17,704.50 and 4,877.68 is: 7,316.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,803 : 17,704.50 = 4,877.68 : x
  2. Step 2: Convert to fraction form
    11,803/17,704.50 = 4,877.68/x
  3. Step 3: Cross multiply
    11,803x = 17,704.50 × 4,877.68
  4. Step 4: Simplify right side
    11,803x = 86,356,885.56
  5. Step 5: Solve for x
    x = 86,356,885.56/11,803
  6. Step 6: Final answer
    x = 7,316.52

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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.