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Finding the Fourth Proportional to 23,829, 32,885.88 and 13,220.68

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Solution

The fourth proportional to 23,829, 32,885.88 and 13,220.68 is: 18,245.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,829 : 32,885.88 = 13,220.68 : x
  2. Step 2: Convert to fraction form
    23,829/32,885.88 = 13,220.68/x
  3. Step 3: Cross multiply
    23,829x = 32,885.88 × 13,220.68
  4. Step 4: Simplify right side
    23,829x = 434,773,696.00
  5. Step 5: Solve for x
    x = 434,773,696.00/23,829
  6. Step 6: Final answer
    x = 18,245.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.