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Finding the Fourth Proportional to 21,625, 32,437.50 and 5,209

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Solution

The fourth proportional to 21,625, 32,437.50 and 5,209 is: 7,813.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,625 : 32,437.50 = 5,209 : x
  2. Step 2: Convert to fraction form
    21,625/32,437.50 = 5,209/x
  3. Step 3: Cross multiply
    21,625x = 32,437.50 × 5,209
  4. Step 4: Simplify right side
    21,625x = 168,966,937.50
  5. Step 5: Solve for x
    x = 168,966,937.50/21,625
  6. Step 6: Final answer
    x = 7,813.50

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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.