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Finding the Fourth Proportional to 25,326, 37,990.08 and 6,858

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Solution

The fourth proportional to 25,326, 37,990.08 and 6,858 is: 10,287.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,326 : 37,990.08 = 6,858 : x
  2. Step 2: Convert to fraction form
    25,326/37,990.08 = 6,858/x
  3. Step 3: Cross multiply
    25,326x = 37,990.08 × 6,858
  4. Step 4: Simplify right side
    25,326x = 260,535,968.64
  5. Step 5: Solve for x
    x = 260,535,968.64/25,326
  6. Step 6: Final answer
    x = 10,287.29

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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.