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Finding the Fourth Proportional to 25,752.69, 38,653.94 and 12,435.02

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Solution

The fourth proportional to 25,752.69, 38,653.94 and 12,435.02 is: 18,664.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,752.69 : 38,653.94 = 12,435.02 : x
  2. Step 2: Convert to fraction form
    25,752.69/38,653.94 = 12,435.02/x
  3. Step 3: Cross multiply
    25,752.69x = 38,653.94 × 12,435.02
  4. Step 4: Simplify right side
    25,752.69x = 480,662,548.07
  5. Step 5: Solve for x
    x = 480,662,548.07/25,752.69
  6. Step 6: Final answer
    x = 18,664.56

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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.