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Finding the Fourth Proportional to 18,817.50, 28,239.24 and 6,505.50

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Solution

The fourth proportional to 18,817.50, 28,239.24 and 6,505.50 is: 9,762.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,817.50 : 28,239.24 = 6,505.50 : x
  2. Step 2: Convert to fraction form
    18,817.50/28,239.24 = 6,505.50/x
  3. Step 3: Cross multiply
    18,817.50x = 28,239.24 × 6,505.50
  4. Step 4: Simplify right side
    18,817.50x = 183,710,375.82
  5. Step 5: Solve for x
    x = 183,710,375.82/18,817.50
  6. Step 6: Final answer
    x = 9,762.74

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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.