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Finding the Fourth Proportional to 21,391.56, 32,069.34 and 9,701.64

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Solution

The fourth proportional to 21,391.56, 32,069.34 and 9,701.64 is: 14,544.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,391.56 : 32,069.34 = 9,701.64 : x
  2. Step 2: Convert to fraction form
    21,391.56/32,069.34 = 9,701.64/x
  3. Step 3: Cross multiply
    21,391.56x = 32,069.34 × 9,701.64
  4. Step 4: Simplify right side
    21,391.56x = 311,125,191.72
  5. Step 5: Solve for x
    x = 311,125,191.72/21,391.56
  6. Step 6: Final answer
    x = 14,544.30

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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.