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Finding the Fourth Proportional to 19,325.64, 28,990.68 and 6,843

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Solution

The fourth proportional to 19,325.64, 28,990.68 and 6,843 is: 10,265.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,325.64 : 28,990.68 = 6,843 : x
  2. Step 2: Convert to fraction form
    19,325.64/28,990.68 = 6,843/x
  3. Step 3: Cross multiply
    19,325.64x = 28,990.68 × 6,843
  4. Step 4: Simplify right side
    19,325.64x = 198,383,223.24
  5. Step 5: Solve for x
    x = 198,383,223.24/19,325.64
  6. Step 6: Final answer
    x = 10,265.29

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1.5x scale

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.