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Finding the Fourth Proportional to 21,530, 29,710.58 and 11,970.47

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Solution

The fourth proportional to 21,530, 29,710.58 and 11,970.47 is: 16,518.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,530 : 29,710.58 = 11,970.47 : x
  2. Step 2: Convert to fraction form
    21,530/29,710.58 = 11,970.47/x
  3. Step 3: Cross multiply
    21,530x = 29,710.58 × 11,970.47
  4. Step 4: Simplify right side
    21,530x = 355,649,546.72
  5. Step 5: Solve for x
    x = 355,649,546.72/21,530
  6. Step 6: Final answer
    x = 16,518.79

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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.