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Finding the Fourth Proportional to 21,460.80, 32,200.32 and 13,684.80

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Solution

The fourth proportional to 21,460.80, 32,200.32 and 13,684.80 is: 20,533.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,460.80 : 32,200.32 = 13,684.80 : x
  2. Step 2: Convert to fraction form
    21,460.80/32,200.32 = 13,684.80/x
  3. Step 3: Cross multiply
    21,460.80x = 32,200.32 × 13,684.80
  4. Step 4: Simplify right side
    21,460.80x = 440,654,939.14
  5. Step 5: Solve for x
    x = 440,654,939.14/21,460.80
  6. Step 6: Final answer
    x = 20,533.02

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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.