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Finding the Fourth Proportional to 25,342.16, 38,016.12 and 7,816.40

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Solution

The fourth proportional to 25,342.16, 38,016.12 and 7,816.40 is: 11,725.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,342.16 : 38,016.12 = 7,816.40 : x
  2. Step 2: Convert to fraction form
    25,342.16/38,016.12 = 7,816.40/x
  3. Step 3: Cross multiply
    25,342.16x = 38,016.12 × 7,816.40
  4. Step 4: Simplify right side
    25,342.16x = 297,149,200.37
  5. Step 5: Solve for x
    x = 297,149,200.37/25,342.16
  6. Step 6: Final answer
    x = 11,725.49

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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.