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Finding the Fourth Proportional to 18,657.26, 27,985.90 and 5,509.42

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Solution

The fourth proportional to 18,657.26, 27,985.90 and 5,509.42 is: 8,264.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,657.26 : 27,985.90 = 5,509.42 : x
  2. Step 2: Convert to fraction form
    18,657.26/27,985.90 = 5,509.42/x
  3. Step 3: Cross multiply
    18,657.26x = 27,985.90 × 5,509.42
  4. Step 4: Simplify right side
    18,657.26x = 154,186,077.18
  5. Step 5: Solve for x
    x = 154,186,077.18/18,657.26
  6. Step 6: Final answer
    x = 8,264.13

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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.