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Finding the Fourth Proportional to 12,636.84, 18,966.96 and 6,401.28

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Solution

The fourth proportional to 12,636.84, 18,966.96 and 6,401.28 is: 9,607.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,636.84 : 18,966.96 = 6,401.28 : x
  2. Step 2: Convert to fraction form
    12,636.84/18,966.96 = 6,401.28/x
  3. Step 3: Cross multiply
    12,636.84x = 18,966.96 × 6,401.28
  4. Step 4: Simplify right side
    12,636.84x = 121,412,821.71
  5. Step 5: Solve for x
    x = 121,412,821.71/12,636.84
  6. Step 6: Final answer
    x = 9,607.85

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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.