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Finding the Fourth Proportional to 25,679, 35,437.02 and 13,903

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Solution

The fourth proportional to 25,679, 35,437.02 and 13,903 is: 19,186.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,679 : 35,437.02 = 13,903 : x
  2. Step 2: Convert to fraction form
    25,679/35,437.02 = 13,903/x
  3. Step 3: Cross multiply
    25,679x = 35,437.02 × 13,903
  4. Step 4: Simplify right side
    25,679x = 492,680,889.06
  5. Step 5: Solve for x
    x = 492,680,889.06/25,679
  6. Step 6: Final answer
    x = 19,186.14

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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.