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Finding the Fourth Proportional to 21,531, 32,295.30 and 6,738.18

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Solution

The fourth proportional to 21,531, 32,295.30 and 6,738.18 is: 10,106.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,531 : 32,295.30 = 6,738.18 : x
  2. Step 2: Convert to fraction form
    21,531/32,295.30 = 6,738.18/x
  3. Step 3: Cross multiply
    21,531x = 32,295.30 × 6,738.18
  4. Step 4: Simplify right side
    21,531x = 217,611,544.55
  5. Step 5: Solve for x
    x = 217,611,544.55/21,531
  6. Step 6: Final answer
    x = 10,106.89

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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.