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Finding the Fourth Proportional to 20,459.92, 30,690.29 and 6,419.65

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Solution

The fourth proportional to 20,459.92, 30,690.29 and 6,419.65 is: 9,629.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,459.92 : 30,690.29 = 6,419.65 : x
  2. Step 2: Convert to fraction form
    20,459.92/30,690.29 = 6,419.65/x
  3. Step 3: Cross multiply
    20,459.92x = 30,690.29 × 6,419.65
  4. Step 4: Simplify right side
    20,459.92x = 197,020,920.20
  5. Step 5: Solve for x
    x = 197,020,920.20/20,459.92
  6. Step 6: Final answer
    x = 9,629.60

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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.