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Finding the Fourth Proportional to 30,573.58, 45,851 and 21,146.54

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Solution

The fourth proportional to 30,573.58, 45,851 and 21,146.54 is: 31,713.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,573.58 : 45,851 = 21,146.54 : x
  2. Step 2: Convert to fraction form
    30,573.58/45,851 = 21,146.54/x
  3. Step 3: Cross multiply
    30,573.58x = 45,851 × 21,146.54
  4. Step 4: Simplify right side
    30,573.58x = 969,590,005.54
  5. Step 5: Solve for x
    x = 969,590,005.54/30,573.58
  6. Step 6: Final answer
    x = 31,713.33

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1.5x scale

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.