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Finding the Fourth Proportional to 25,782.90, 38,683.54 and 15,910.68

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Solution

The fourth proportional to 25,782.90, 38,683.54 and 15,910.68 is: 23,871.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,782.90 : 38,683.54 = 15,910.68 : x
  2. Step 2: Convert to fraction form
    25,782.90/38,683.54 = 15,910.68/x
  3. Step 3: Cross multiply
    25,782.90x = 38,683.54 × 15,910.68
  4. Step 4: Simplify right side
    25,782.90x = 615,481,426.21
  5. Step 5: Solve for x
    x = 615,481,426.21/25,782.90
  6. Step 6: Final answer
    x = 23,871.69

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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.