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Finding the Fourth Proportional to 14,422.76, 21,668.70 and 9,238.76

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Solution

The fourth proportional to 14,422.76, 21,668.70 and 9,238.76 is: 13,880.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,422.76 : 21,668.70 = 9,238.76 : x
  2. Step 2: Convert to fraction form
    14,422.76/21,668.70 = 9,238.76/x
  3. Step 3: Cross multiply
    14,422.76x = 21,668.70 × 9,238.76
  4. Step 4: Simplify right side
    14,422.76x = 200,191,918.81
  5. Step 5: Solve for x
    x = 200,191,918.81/14,422.76
  6. Step 6: Final answer
    x = 13,880.28

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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.