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Finding the Fourth Proportional to 20,459.51, 30,682.68 and 7,976.46

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Solution

The fourth proportional to 20,459.51, 30,682.68 and 7,976.46 is: 11,962.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,459.51 : 30,682.68 = 7,976.46 : x
  2. Step 2: Convert to fraction form
    20,459.51/30,682.68 = 7,976.46/x
  3. Step 3: Cross multiply
    20,459.51x = 30,682.68 × 7,976.46
  4. Step 4: Simplify right side
    20,459.51x = 244,739,169.71
  5. Step 5: Solve for x
    x = 244,739,169.71/20,459.51
  6. Step 6: Final answer
    x = 11,962.12

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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.