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Finding the Fourth Proportional to 25,606.55, 38,416.65 and 8,076.38

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Solution

The fourth proportional to 25,606.55, 38,416.65 and 8,076.38 is: 12,116.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,606.55 : 38,416.65 = 8,076.38 : x
  2. Step 2: Convert to fraction form
    25,606.55/38,416.65 = 8,076.38/x
  3. Step 3: Cross multiply
    25,606.55x = 38,416.65 × 8,076.38
  4. Step 4: Simplify right side
    25,606.55x = 310,267,309.50
  5. Step 5: Solve for x
    x = 310,267,309.50/25,606.55
  6. Step 6: Final answer
    x = 12,116.72

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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.