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Finding the Fourth Proportional to 25,421.78, 38,133.03 and 7,890.50

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Solution

The fourth proportional to 25,421.78, 38,133.03 and 7,890.50 is: 11,835.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,421.78 : 38,133.03 = 7,890.50 : x
  2. Step 2: Convert to fraction form
    25,421.78/38,133.03 = 7,890.50/x
  3. Step 3: Cross multiply
    25,421.78x = 38,133.03 × 7,890.50
  4. Step 4: Simplify right side
    25,421.78x = 300,888,673.22
  5. Step 5: Solve for x
    x = 300,888,673.22/25,421.78
  6. Step 6: Final answer
    x = 11,835.86

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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.