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Finding the Fourth Proportional to 25,807.20, 38,653.20 and 25,231.20

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Solution

The fourth proportional to 25,807.20, 38,653.20 and 25,231.20 is: 37,790.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,807.20 : 38,653.20 = 25,231.20 : x
  2. Step 2: Convert to fraction form
    25,807.20/38,653.20 = 25,231.20/x
  3. Step 3: Cross multiply
    25,807.20x = 38,653.20 × 25,231.20
  4. Step 4: Simplify right side
    25,807.20x = 975,266,619.84
  5. Step 5: Solve for x
    x = 975,266,619.84/25,807.20
  6. Step 6: Final answer
    x = 37,790.49

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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.