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Finding the Fourth Proportional to 21,414.60, 32,121.90 and 14,416.20

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Solution

The fourth proportional to 21,414.60, 32,121.90 and 14,416.20 is: 21,624.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,414.60 : 32,121.90 = 14,416.20 : x
  2. Step 2: Convert to fraction form
    21,414.60/32,121.90 = 14,416.20/x
  3. Step 3: Cross multiply
    21,414.60x = 32,121.90 × 14,416.20
  4. Step 4: Simplify right side
    21,414.60x = 463,075,734.78
  5. Step 5: Solve for x
    x = 463,075,734.78/21,414.60
  6. Step 6: Final answer
    x = 21,624.30

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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.