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Finding the Fourth Proportional to 6,890.20, 9,512.08 and 4,536.08

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Solution

The fourth proportional to 6,890.20, 9,512.08 and 4,536.08 is: 6,262.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,890.20 : 9,512.08 = 4,536.08 : x
  2. Step 2: Convert to fraction form
    6,890.20/9,512.08 = 4,536.08/x
  3. Step 3: Cross multiply
    6,890.20x = 9,512.08 × 4,536.08
  4. Step 4: Simplify right side
    6,890.20x = 43,147,555.85
  5. Step 5: Solve for x
    x = 43,147,555.85/6,890.20
  6. Step 6: Final answer
    x = 6,262.16

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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.