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Finding the Fourth Proportional to 20,702.64, 30,980.07 and 17,938.77

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Solution

The fourth proportional to 20,702.64, 30,980.07 and 17,938.77 is: 26,844.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,702.64 : 30,980.07 = 17,938.77 : x
  2. Step 2: Convert to fraction form
    20,702.64/30,980.07 = 17,938.77/x
  3. Step 3: Cross multiply
    20,702.64x = 30,980.07 × 17,938.77
  4. Step 4: Simplify right side
    20,702.64x = 555,744,350.31
  5. Step 5: Solve for x
    x = 555,744,350.31/20,702.64
  6. Step 6: Final answer
    x = 26,844.13

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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.