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Finding the Fourth Proportional to 21,795, 32,692.50 and 5,379

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Solution

The fourth proportional to 21,795, 32,692.50 and 5,379 is: 8,068.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,795 : 32,692.50 = 5,379 : x
  2. Step 2: Convert to fraction form
    21,795/32,692.50 = 5,379/x
  3. Step 3: Cross multiply
    21,795x = 32,692.50 × 5,379
  4. Step 4: Simplify right side
    21,795x = 175,852,957.50
  5. Step 5: Solve for x
    x = 175,852,957.50/21,795
  6. Step 6: Final answer
    x = 8,068.50

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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.