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Finding the Fourth Proportional to 6,590.57, 9,883.36 and 2,147.07

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Solution

The fourth proportional to 6,590.57, 9,883.36 and 2,147.07 is: 3,219.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,590.57 : 9,883.36 = 2,147.07 : x
  2. Step 2: Convert to fraction form
    6,590.57/9,883.36 = 2,147.07/x
  3. Step 3: Cross multiply
    6,590.57x = 9,883.36 × 2,147.07
  4. Step 4: Simplify right side
    6,590.57x = 21,220,265.76
  5. Step 5: Solve for x
    x = 21,220,265.76/6,590.57
  6. Step 6: Final answer
    x = 3,219.79

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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.