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Finding the Fourth Proportional to 13,818, 20,728.08 and 4,584

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Solution

The fourth proportional to 13,818, 20,728.08 and 4,584 is: 6,876.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,818 : 20,728.08 = 4,584 : x
  2. Step 2: Convert to fraction form
    13,818/20,728.08 = 4,584/x
  3. Step 3: Cross multiply
    13,818x = 20,728.08 × 4,584
  4. Step 4: Simplify right side
    13,818x = 95,017,518.72
  5. Step 5: Solve for x
    x = 95,017,518.72/13,818
  6. Step 6: Final answer
    x = 6,876.36

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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.