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Finding the Fourth Proportional to 18,729, 28,095.12 and 4,878

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Solution

The fourth proportional to 18,729, 28,095.12 and 4,878 is: 7,317.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,729 : 28,095.12 = 4,878 : x
  2. Step 2: Convert to fraction form
    18,729/28,095.12 = 4,878/x
  3. Step 3: Cross multiply
    18,729x = 28,095.12 × 4,878
  4. Step 4: Simplify right side
    18,729x = 137,047,995.36
  5. Step 5: Solve for x
    x = 137,047,995.36/18,729
  6. Step 6: Final answer
    x = 7,317.42

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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.