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Finding the Fourth Proportional to 18,702.42, 28,046.34 and 7,009.26

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Solution

The fourth proportional to 18,702.42, 28,046.34 and 7,009.26 is: 10,511.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,702.42 : 28,046.34 = 7,009.26 : x
  2. Step 2: Convert to fraction form
    18,702.42/28,046.34 = 7,009.26/x
  3. Step 3: Cross multiply
    18,702.42x = 28,046.34 × 7,009.26
  4. Step 4: Simplify right side
    18,702.42x = 196,584,089.11
  5. Step 5: Solve for x
    x = 196,584,089.11/18,702.42
  6. Step 6: Final answer
    x = 10,511.16

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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.