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Finding the Fourth Proportional to 18,754, 25,901.78 and 12,775.30

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Solution

The fourth proportional to 18,754, 25,901.78 and 12,775.30 is: 17,644.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,754 : 25,901.78 = 12,775.30 : x
  2. Step 2: Convert to fraction form
    18,754/25,901.78 = 12,775.30/x
  3. Step 3: Cross multiply
    18,754x = 25,901.78 × 12,775.30
  4. Step 4: Simplify right side
    18,754x = 330,903,010.03
  5. Step 5: Solve for x
    x = 330,903,010.03/18,754
  6. Step 6: Final answer
    x = 17,644.40

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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.