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Finding the Fourth Proportional to 21,675.12, 32,511.06 and 7,824.12

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Solution

The fourth proportional to 21,675.12, 32,511.06 and 7,824.12 is: 11,735.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,675.12 : 32,511.06 = 7,824.12 : x
  2. Step 2: Convert to fraction form
    21,675.12/32,511.06 = 7,824.12/x
  3. Step 3: Cross multiply
    21,675.12x = 32,511.06 × 7,824.12
  4. Step 4: Simplify right side
    21,675.12x = 254,370,434.77
  5. Step 5: Solve for x
    x = 254,370,434.77/21,675.12
  6. Step 6: Final answer
    x = 11,735.60

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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.