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Finding the Fourth Proportional to 28,420, 42,645.36 and 13,828

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Solution

The fourth proportional to 28,420, 42,645.36 and 13,828 is: 20,749.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,420 : 42,645.36 = 13,828 : x
  2. Step 2: Convert to fraction form
    28,420/42,645.36 = 13,828/x
  3. Step 3: Cross multiply
    28,420x = 42,645.36 × 13,828
  4. Step 4: Simplify right side
    28,420x = 589,700,038.08
  5. Step 5: Solve for x
    x = 589,700,038.08/28,420
  6. Step 6: Final answer
    x = 20,749.47

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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.