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Finding the Fourth Proportional to 15,817.04, 23,728 and 5,283.80

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Solution

The fourth proportional to 15,817.04, 23,728 and 5,283.80 is: 7,926.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,817.04 : 23,728 = 5,283.80 : x
  2. Step 2: Convert to fraction form
    15,817.04/23,728 = 5,283.80/x
  3. Step 3: Cross multiply
    15,817.04x = 23,728 × 5,283.80
  4. Step 4: Simplify right side
    15,817.04x = 125,374,006.40
  5. Step 5: Solve for x
    x = 125,374,006.40/15,817.04
  6. Step 6: Final answer
    x = 7,926.52

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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.