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Finding the Fourth Proportional to 12,423, 18,633.96 and 6,180.60

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Solution

The fourth proportional to 12,423, 18,633.96 and 6,180.60 is: 9,270.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,423 : 18,633.96 = 6,180.60 : x
  2. Step 2: Convert to fraction form
    12,423/18,633.96 = 6,180.60/x
  3. Step 3: Cross multiply
    12,423x = 18,633.96 × 6,180.60
  4. Step 4: Simplify right side
    12,423x = 115,169,053.18
  5. Step 5: Solve for x
    x = 115,169,053.18/12,423
  6. Step 6: Final answer
    x = 9,270.63

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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.