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Finding the Fourth Proportional to 12,632.84, 18,965.74 and 8,491.40

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Solution

The fourth proportional to 12,632.84, 18,965.74 and 8,491.40 is: 12,748.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,632.84 : 18,965.74 = 8,491.40 : x
  2. Step 2: Convert to fraction form
    12,632.84/18,965.74 = 8,491.40/x
  3. Step 3: Cross multiply
    12,632.84x = 18,965.74 × 8,491.40
  4. Step 4: Simplify right side
    12,632.84x = 161,045,684.64
  5. Step 5: Solve for x
    x = 161,045,684.64/12,632.84
  6. Step 6: Final answer
    x = 12,748.18

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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.