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Finding the Fourth Proportional to 28,419, 42,643.86 and 13,827

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Solution

The fourth proportional to 28,419, 42,643.86 and 13,827 is: 20,747.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,419 : 42,643.86 = 13,827 : x
  2. Step 2: Convert to fraction form
    28,419/42,643.86 = 13,827/x
  3. Step 3: Cross multiply
    28,419x = 42,643.86 × 13,827
  4. Step 4: Simplify right side
    28,419x = 589,636,652.22
  5. Step 5: Solve for x
    x = 589,636,652.22/28,419
  6. Step 6: Final answer
    x = 20,747.97

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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.