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Finding the Fourth Proportional to 18,402.16, 27,611.80 and 7,875.40

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Solution

The fourth proportional to 18,402.16, 27,611.80 and 7,875.40 is: 11,816.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,402.16 : 27,611.80 = 7,875.40 : x
  2. Step 2: Convert to fraction form
    18,402.16/27,611.80 = 7,875.40/x
  3. Step 3: Cross multiply
    18,402.16x = 27,611.80 × 7,875.40
  4. Step 4: Simplify right side
    18,402.16x = 217,453,969.72
  5. Step 5: Solve for x
    x = 217,453,969.72/18,402.16
  6. Step 6: Final answer
    x = 11,816.76

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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.