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Finding the Fourth Proportional to 5,389.26, 8,084.02 and 1,926.50

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Solution

The fourth proportional to 5,389.26, 8,084.02 and 1,926.50 is: 2,889.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,389.26 : 8,084.02 = 1,926.50 : x
  2. Step 2: Convert to fraction form
    5,389.26/8,084.02 = 1,926.50/x
  3. Step 3: Cross multiply
    5,389.26x = 8,084.02 × 1,926.50
  4. Step 4: Simplify right side
    5,389.26x = 15,573,864.53
  5. Step 5: Solve for x
    x = 15,573,864.53/5,389.26
  6. Step 6: Final answer
    x = 2,889.80

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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.