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Finding the Fourth Proportional to 21,406.40, 32,109.60 and 16,222.40

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Solution

The fourth proportional to 21,406.40, 32,109.60 and 16,222.40 is: 24,333.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,406.40 : 32,109.60 = 16,222.40 : x
  2. Step 2: Convert to fraction form
    21,406.40/32,109.60 = 16,222.40/x
  3. Step 3: Cross multiply
    21,406.40x = 32,109.60 × 16,222.40
  4. Step 4: Simplify right side
    21,406.40x = 520,894,775.04
  5. Step 5: Solve for x
    x = 520,894,775.04/21,406.40
  6. Step 6: Final answer
    x = 24,333.60

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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.