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Finding the Fourth Proportional to 28,674, 43,011 and 7,897.50

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Solution

The fourth proportional to 28,674, 43,011 and 7,897.50 is: 11,846.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,674 : 43,011 = 7,897.50 : x
  2. Step 2: Convert to fraction form
    28,674/43,011 = 7,897.50/x
  3. Step 3: Cross multiply
    28,674x = 43,011 × 7,897.50
  4. Step 4: Simplify right side
    28,674x = 339,679,372.50
  5. Step 5: Solve for x
    x = 339,679,372.50/28,674
  6. Step 6: Final answer
    x = 11,846.25

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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.