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Finding the Fourth Proportional to 12,642.81, 17,437.46 and 9,668.49

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Solution

The fourth proportional to 12,642.81, 17,437.46 and 9,668.49 is: 13,335.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,642.81 : 17,437.46 = 9,668.49 : x
  2. Step 2: Convert to fraction form
    12,642.81/17,437.46 = 9,668.49/x
  3. Step 3: Cross multiply
    12,642.81x = 17,437.46 × 9,668.49
  4. Step 4: Simplify right side
    12,642.81x = 168,593,859.29
  5. Step 5: Solve for x
    x = 168,593,859.29/12,642.81
  6. Step 6: Final answer
    x = 13,335.16

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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.