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Finding the Fourth Proportional to 20,492.51, 30,713.39 and 9,953.91

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Solution

The fourth proportional to 20,492.51, 30,713.39 and 9,953.91 is: 14,918.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,492.51 : 30,713.39 = 9,953.91 : x
  2. Step 2: Convert to fraction form
    20,492.51/30,713.39 = 9,953.91/x
  3. Step 3: Cross multiply
    20,492.51x = 30,713.39 × 9,953.91
  4. Step 4: Simplify right side
    20,492.51x = 305,718,270.09
  5. Step 5: Solve for x
    x = 305,718,270.09/20,492.51
  6. Step 6: Final answer
    x = 14,918.54

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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.