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Finding the Fourth Proportional to 21,907.80, 32,868.59 and 9,263.30

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Solution

The fourth proportional to 21,907.80, 32,868.59 and 9,263.30 is: 13,897.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,907.80 : 32,868.59 = 9,263.30 : x
  2. Step 2: Convert to fraction form
    21,907.80/32,868.59 = 9,263.30/x
  3. Step 3: Cross multiply
    21,907.80x = 32,868.59 × 9,263.30
  4. Step 4: Simplify right side
    21,907.80x = 304,471,399.09
  5. Step 5: Solve for x
    x = 304,471,399.09/21,907.80
  6. Step 6: Final answer
    x = 13,897.85

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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.