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Finding the Fourth Proportional to 21,409.40, 32,114.10 and 19,295.30

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Solution

The fourth proportional to 21,409.40, 32,114.10 and 19,295.30 is: 28,942.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,409.40 : 32,114.10 = 19,295.30 : x
  2. Step 2: Convert to fraction form
    21,409.40/32,114.10 = 19,295.30/x
  3. Step 3: Cross multiply
    21,409.40x = 32,114.10 × 19,295.30
  4. Step 4: Simplify right side
    21,409.40x = 619,651,193.73
  5. Step 5: Solve for x
    x = 619,651,193.73/21,409.40
  6. Step 6: Final answer
    x = 28,942.95

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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.