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Finding the Fourth Proportional to 11,795, 17,700.60 and 4,869.56

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Solution

The fourth proportional to 11,795, 17,700.60 and 4,869.56 is: 7,307.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,795 : 17,700.60 = 4,869.56 : x
  2. Step 2: Convert to fraction form
    11,795/17,700.60 = 4,869.56/x
  3. Step 3: Cross multiply
    11,795x = 17,700.60 × 4,869.56
  4. Step 4: Simplify right side
    11,795x = 86,194,133.74
  5. Step 5: Solve for x
    x = 86,194,133.74/11,795
  6. Step 6: Final answer
    x = 7,307.68

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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.