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Finding the Fourth Proportional to 21,281.60, 31,922.40 and 19,438.40

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Solution

The fourth proportional to 21,281.60, 31,922.40 and 19,438.40 is: 29,157.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,281.60 : 31,922.40 = 19,438.40 : x
  2. Step 2: Convert to fraction form
    21,281.60/31,922.40 = 19,438.40/x
  3. Step 3: Cross multiply
    21,281.60x = 31,922.40 × 19,438.40
  4. Step 4: Simplify right side
    21,281.60x = 620,520,380.16
  5. Step 5: Solve for x
    x = 620,520,380.16/21,281.60
  6. Step 6: Final answer
    x = 29,157.60

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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.