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Finding the Fourth Proportional to 30,886, 42,627.26 and 19,556.55

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Solution

The fourth proportional to 30,886, 42,627.26 and 19,556.55 is: 26,990.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,886 : 42,627.26 = 19,556.55 : x
  2. Step 2: Convert to fraction form
    30,886/42,627.26 = 19,556.55/x
  3. Step 3: Cross multiply
    30,886x = 42,627.26 × 19,556.55
  4. Step 4: Simplify right side
    30,886x = 833,642,043.77
  5. Step 5: Solve for x
    x = 833,642,043.77/30,886
  6. Step 6: Final answer
    x = 26,990.94

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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.