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Finding the Fourth Proportional to 25,047, 34,565.94 and 13,869

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Solution

The fourth proportional to 25,047, 34,565.94 and 13,869 is: 19,139.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,047 : 34,565.94 = 13,869 : x
  2. Step 2: Convert to fraction form
    25,047/34,565.94 = 13,869/x
  3. Step 3: Cross multiply
    25,047x = 34,565.94 × 13,869
  4. Step 4: Simplify right side
    25,047x = 479,395,021.86
  5. Step 5: Solve for x
    x = 479,395,021.86/25,047
  6. Step 6: Final answer
    x = 19,139.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.