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Finding the Fourth Proportional to 25,672, 35,427.36 and 13,896

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Solution

The fourth proportional to 25,672, 35,427.36 and 13,896 is: 19,176.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,672 : 35,427.36 = 13,896 : x
  2. Step 2: Convert to fraction form
    25,672/35,427.36 = 13,896/x
  3. Step 3: Cross multiply
    25,672x = 35,427.36 × 13,896
  4. Step 4: Simplify right side
    25,672x = 492,298,594.56
  5. Step 5: Solve for x
    x = 492,298,594.56/25,672
  6. Step 6: Final answer
    x = 19,176.48

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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.