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Finding the Fourth Proportional to 15,206.08, 20,984.16 and 8,582.08

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Solution

The fourth proportional to 15,206.08, 20,984.16 and 8,582.08 is: 11,843.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,206.08 : 20,984.16 = 8,582.08 : x
  2. Step 2: Convert to fraction form
    15,206.08/20,984.16 = 8,582.08/x
  3. Step 3: Cross multiply
    15,206.08x = 20,984.16 × 8,582.08
  4. Step 4: Simplify right side
    15,206.08x = 180,087,739.85
  5. Step 5: Solve for x
    x = 180,087,739.85/15,206.08
  6. Step 6: Final answer
    x = 11,843.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.