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Finding the Fourth Proportional to 15,043, 20,759.36 and 8,419

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Solution

The fourth proportional to 15,043, 20,759.36 and 8,419 is: 11,618.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,043 : 20,759.36 = 8,419 : x
  2. Step 2: Convert to fraction form
    15,043/20,759.36 = 8,419/x
  3. Step 3: Cross multiply
    15,043x = 20,759.36 × 8,419
  4. Step 4: Simplify right side
    15,043x = 174,773,051.84
  5. Step 5: Solve for x
    x = 174,773,051.84/15,043
  6. Step 6: Final answer
    x = 11,618.23

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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.