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Finding the Fourth Proportional to 25,652, 38,477.96 and 8,123.20

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Solution

The fourth proportional to 25,652, 38,477.96 and 8,123.20 is: 12,184.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,652 : 38,477.96 = 8,123.20 : x
  2. Step 2: Convert to fraction form
    25,652/38,477.96 = 8,123.20/x
  3. Step 3: Cross multiply
    25,652x = 38,477.96 × 8,123.20
  4. Step 4: Simplify right side
    25,652x = 312,564,164.67
  5. Step 5: Solve for x
    x = 312,564,164.67/25,652
  6. Step 6: Final answer
    x = 12,184.79

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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.