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Finding the Fourth Proportional to 13,665.98, 20,499.17 and 12,994.80

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Solution

The fourth proportional to 13,665.98, 20,499.17 and 12,994.80 is: 19,492.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,665.98 : 20,499.17 = 12,994.80 : x
  2. Step 2: Convert to fraction form
    13,665.98/20,499.17 = 12,994.80/x
  3. Step 3: Cross multiply
    13,665.98x = 20,499.17 × 12,994.80
  4. Step 4: Simplify right side
    13,665.98x = 266,382,549.34
  5. Step 5: Solve for x
    x = 266,382,549.34/13,665.98
  6. Step 6: Final answer
    x = 19,492.39

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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.