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Finding the Fourth Proportional to 21,466.64, 29,624.04 and 11,907.20

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Solution

The fourth proportional to 21,466.64, 29,624.04 and 11,907.20 is: 16,431.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,466.64 : 29,624.04 = 11,907.20 : x
  2. Step 2: Convert to fraction form
    21,466.64/29,624.04 = 11,907.20/x
  3. Step 3: Cross multiply
    21,466.64x = 29,624.04 × 11,907.20
  4. Step 4: Simplify right side
    21,466.64x = 352,739,369.09
  5. Step 5: Solve for x
    x = 352,739,369.09/21,466.64
  6. Step 6: Final answer
    x = 16,431.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.