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Finding the Fourth Proportional to 25,783.26, 38,674.90 and 7,315.26

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Solution

The fourth proportional to 25,783.26, 38,674.90 and 7,315.26 is: 10,972.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,783.26 : 38,674.90 = 7,315.26 : x
  2. Step 2: Convert to fraction form
    25,783.26/38,674.90 = 7,315.26/x
  3. Step 3: Cross multiply
    25,783.26x = 38,674.90 × 7,315.26
  4. Step 4: Simplify right side
    25,783.26x = 282,916,948.97
  5. Step 5: Solve for x
    x = 282,916,948.97/25,783.26
  6. Step 6: Final answer
    x = 10,972.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.