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Finding the Fourth Proportional to 14,129.40, 21,194.10 and 12,401.40

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Solution

The fourth proportional to 14,129.40, 21,194.10 and 12,401.40 is: 18,602.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,129.40 : 21,194.10 = 12,401.40 : x
  2. Step 2: Convert to fraction form
    14,129.40/21,194.10 = 12,401.40/x
  3. Step 3: Cross multiply
    14,129.40x = 21,194.10 × 12,401.40
  4. Step 4: Simplify right side
    14,129.40x = 262,836,511.74
  5. Step 5: Solve for x
    x = 262,836,511.74/14,129.40
  6. Step 6: Final answer
    x = 18,602.10

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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.