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Finding the Fourth Proportional to 15,907.83, 21,969.14 and 11,922.63

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Solution

The fourth proportional to 15,907.83, 21,969.14 and 11,922.63 is: 16,465.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,907.83 : 21,969.14 = 11,922.63 : x
  2. Step 2: Convert to fraction form
    15,907.83/21,969.14 = 11,922.63/x
  3. Step 3: Cross multiply
    15,907.83x = 21,969.14 × 11,922.63
  4. Step 4: Simplify right side
    15,907.83x = 261,929,868.03
  5. Step 5: Solve for x
    x = 261,929,868.03/15,907.83
  6. Step 6: Final answer
    x = 16,465.47

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1.5x scale

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.