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Finding the Fourth Proportional to 25,536, 38,308.64 and 8,005.12

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Solution

The fourth proportional to 25,536, 38,308.64 and 8,005.12 is: 12,009.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,536 : 38,308.64 = 8,005.12 : x
  2. Step 2: Convert to fraction form
    25,536/38,308.64 = 8,005.12/x
  3. Step 3: Cross multiply
    25,536x = 38,308.64 × 8,005.12
  4. Step 4: Simplify right side
    25,536x = 306,665,260.24
  5. Step 5: Solve for x
    x = 306,665,260.24/25,536
  6. Step 6: Final answer
    x = 12,009.13

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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.