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Finding the Fourth Proportional to 14,636.64, 21,918 and 9,691.32

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Solution

The fourth proportional to 14,636.64, 21,918 and 9,691.32 is: 14,512.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,636.64 : 21,918 = 9,691.32 : x
  2. Step 2: Convert to fraction form
    14,636.64/21,918 = 9,691.32/x
  3. Step 3: Cross multiply
    14,636.64x = 21,918 × 9,691.32
  4. Step 4: Simplify right side
    14,636.64x = 212,414,351.76
  5. Step 5: Solve for x
    x = 212,414,351.76/14,636.64
  6. Step 6: Final answer
    x = 14,512.51

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1.5x scale

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.