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Finding the Fourth Proportional to 21,602.89, 32,403.12 and 6,811.48

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Solution

The fourth proportional to 21,602.89, 32,403.12 and 6,811.48 is: 10,216.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,602.89 : 32,403.12 = 6,811.48 : x
  2. Step 2: Convert to fraction form
    21,602.89/32,403.12 = 6,811.48/x
  3. Step 3: Cross multiply
    21,602.89x = 32,403.12 × 6,811.48
  4. Step 4: Simplify right side
    21,602.89x = 220,713,203.82
  5. Step 5: Solve for x
    x = 220,713,203.82/21,602.89
  6. Step 6: Final answer
    x = 10,216.84

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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.