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Finding the Fourth Proportional to 25,835.40, 38,752.96 and 8,305.28

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Solution

The fourth proportional to 25,835.40, 38,752.96 and 8,305.28 is: 12,457.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,835.40 : 38,752.96 = 8,305.28 : x
  2. Step 2: Convert to fraction form
    25,835.40/38,752.96 = 8,305.28/x
  3. Step 3: Cross multiply
    25,835.40x = 38,752.96 × 8,305.28
  4. Step 4: Simplify right side
    25,835.40x = 321,854,183.63
  5. Step 5: Solve for x
    x = 321,854,183.63/25,835.40
  6. Step 6: Final answer
    x = 12,457.87

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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.