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Finding the Fourth Proportional to 21,462.30, 32,193.45 and 20,004.30

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Solution

The fourth proportional to 21,462.30, 32,193.45 and 20,004.30 is: 30,006.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,462.30 : 32,193.45 = 20,004.30 : x
  2. Step 2: Convert to fraction form
    21,462.30/32,193.45 = 20,004.30/x
  3. Step 3: Cross multiply
    21,462.30x = 32,193.45 × 20,004.30
  4. Step 4: Simplify right side
    21,462.30x = 644,007,431.84
  5. Step 5: Solve for x
    x = 644,007,431.84/21,462.30
  6. Step 6: Final answer
    x = 30,006.45

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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.