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Finding the Fourth Proportional to 12,438.31, 18,668.18 and 6,519.31

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Solution

The fourth proportional to 12,438.31, 18,668.18 and 6,519.31 is: 9,784.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,438.31 : 18,668.18 = 6,519.31 : x
  2. Step 2: Convert to fraction form
    12,438.31/18,668.18 = 6,519.31/x
  3. Step 3: Cross multiply
    12,438.31x = 18,668.18 × 6,519.31
  4. Step 4: Simplify right side
    12,438.31x = 121,703,663.23
  5. Step 5: Solve for x
    x = 121,703,663.23/12,438.31
  6. Step 6: Final answer
    x = 9,784.58

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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.