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Finding the Fourth Proportional to 14,441.64, 21,654.63 and 6,643.50

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Solution

The fourth proportional to 14,441.64, 21,654.63 and 6,643.50 is: 9,961.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,441.64 : 21,654.63 = 6,643.50 : x
  2. Step 2: Convert to fraction form
    14,441.64/21,654.63 = 6,643.50/x
  3. Step 3: Cross multiply
    14,441.64x = 21,654.63 × 6,643.50
  4. Step 4: Simplify right side
    14,441.64x = 143,862,534.41
  5. Step 5: Solve for x
    x = 143,862,534.41/14,441.64
  6. Step 6: Final answer
    x = 9,961.65

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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.