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Finding the Fourth Proportional to 25,914, 38,866.80 and 9,270.90

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Solution

The fourth proportional to 25,914, 38,866.80 and 9,270.90 is: 13,904.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,914 : 38,866.80 = 9,270.90 : x
  2. Step 2: Convert to fraction form
    25,914/38,866.80 = 9,270.90/x
  3. Step 3: Cross multiply
    25,914x = 38,866.80 × 9,270.90
  4. Step 4: Simplify right side
    25,914x = 360,330,216.12
  5. Step 5: Solve for x
    x = 360,330,216.12/25,914
  6. Step 6: Final answer
    x = 13,904.85

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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.