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Finding the Fourth Proportional to 20,582.96, 30,866.88 and 7,431.92

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Solution

The fourth proportional to 20,582.96, 30,866.88 and 7,431.92 is: 11,145.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,582.96 : 30,866.88 = 7,431.92 : x
  2. Step 2: Convert to fraction form
    20,582.96/30,866.88 = 7,431.92/x
  3. Step 3: Cross multiply
    20,582.96x = 30,866.88 × 7,431.92
  4. Step 4: Simplify right side
    20,582.96x = 229,400,182.81
  5. Step 5: Solve for x
    x = 229,400,182.81/20,582.96
  6. Step 6: Final answer
    x = 11,145.15

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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.