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Finding the Fourth Proportional to 12,349.80, 18,495.90 and 7,684.20

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Solution

The fourth proportional to 12,349.80, 18,495.90 and 7,684.20 is: 11,508.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,349.80 : 18,495.90 = 7,684.20 : x
  2. Step 2: Convert to fraction form
    12,349.80/18,495.90 = 7,684.20/x
  3. Step 3: Cross multiply
    12,349.80x = 18,495.90 × 7,684.20
  4. Step 4: Simplify right side
    12,349.80x = 142,126,194.78
  5. Step 5: Solve for x
    x = 142,126,194.78/12,349.80
  6. Step 6: Final answer
    x = 11,508.38

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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.