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Finding the Fourth Proportional to 12,078.48, 16,668.48 and 7,042.56

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Solution

The fourth proportional to 12,078.48, 16,668.48 and 7,042.56 is: 9,718.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,078.48 : 16,668.48 = 7,042.56 : x
  2. Step 2: Convert to fraction form
    12,078.48/16,668.48 = 7,042.56/x
  3. Step 3: Cross multiply
    12,078.48x = 16,668.48 × 7,042.56
  4. Step 4: Simplify right side
    12,078.48x = 117,388,770.51
  5. Step 5: Solve for x
    x = 117,388,770.51/12,078.48
  6. Step 6: Final answer
    x = 9,718.84

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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.