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Finding the Fourth Proportional to 14,195.88, 21,151.17 and 13,401

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Solution

The fourth proportional to 14,195.88, 21,151.17 and 13,401 is: 19,966.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,195.88 : 21,151.17 = 13,401 : x
  2. Step 2: Convert to fraction form
    14,195.88/21,151.17 = 13,401/x
  3. Step 3: Cross multiply
    14,195.88x = 21,151.17 × 13,401
  4. Step 4: Simplify right side
    14,195.88x = 283,446,829.17
  5. Step 5: Solve for x
    x = 283,446,829.17/14,195.88
  6. Step 6: Final answer
    x = 19,966.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.