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Finding the Fourth Proportional to 10,111, 13,954.62 and 9,668.20

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Solution

The fourth proportional to 10,111, 13,954.62 and 9,668.20 is: 13,343.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,111 : 13,954.62 = 9,668.20 : x
  2. Step 2: Convert to fraction form
    10,111/13,954.62 = 9,668.20/x
  3. Step 3: Cross multiply
    10,111x = 13,954.62 × 9,668.20
  4. Step 4: Simplify right side
    10,111x = 134,916,057.08
  5. Step 5: Solve for x
    x = 134,916,057.08/10,111
  6. Step 6: Final answer
    x = 13,343.49

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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.