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Finding the Fourth Proportional to 14,669, 21,984.06 and 12,219.56

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Solution

The fourth proportional to 14,669, 21,984.06 and 12,219.56 is: 18,313.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,669 : 21,984.06 = 12,219.56 : x
  2. Step 2: Convert to fraction form
    14,669/21,984.06 = 12,219.56/x
  3. Step 3: Cross multiply
    14,669x = 21,984.06 × 12,219.56
  4. Step 4: Simplify right side
    14,669x = 268,635,540.21
  5. Step 5: Solve for x
    x = 268,635,540.21/14,669
  6. Step 6: Final answer
    x = 18,313.15

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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.