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Finding the Fourth Proportional to 14,443.14, 21,656.88 and 6,645

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Solution

The fourth proportional to 14,443.14, 21,656.88 and 6,645 is: 9,963.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,443.14 : 21,656.88 = 6,645 : x
  2. Step 2: Convert to fraction form
    14,443.14/21,656.88 = 6,645/x
  3. Step 3: Cross multiply
    14,443.14x = 21,656.88 × 6,645
  4. Step 4: Simplify right side
    14,443.14x = 143,909,967.60
  5. Step 5: Solve for x
    x = 143,909,967.60/14,443.14
  6. Step 6: Final answer
    x = 9,963.90

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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.