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Finding the Fourth Proportional to 21,706.40, 32,561.40 and 6,914.90

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Solution

The fourth proportional to 21,706.40, 32,561.40 and 6,914.90 is: 10,372.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,706.40 : 32,561.40 = 6,914.90 : x
  2. Step 2: Convert to fraction form
    21,706.40/32,561.40 = 6,914.90/x
  3. Step 3: Cross multiply
    21,706.40x = 32,561.40 × 6,914.90
  4. Step 4: Simplify right side
    21,706.40x = 225,158,824.86
  5. Step 5: Solve for x
    x = 225,158,824.86/21,706.40
  6. Step 6: Final answer
    x = 10,372.92

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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.