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Finding the Fourth Proportional to 6,590.43, 9,890.64 and 3,130.11

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Solution

The fourth proportional to 6,590.43, 9,890.64 and 3,130.11 is: 4,697.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,590.43 : 9,890.64 = 3,130.11 : x
  2. Step 2: Convert to fraction form
    6,590.43/9,890.64 = 3,130.11/x
  3. Step 3: Cross multiply
    6,590.43x = 9,890.64 × 3,130.11
  4. Step 4: Simplify right side
    6,590.43x = 30,958,791.17
  5. Step 5: Solve for x
    x = 30,958,791.17/6,590.43
  6. Step 6: Final answer
    x = 4,697.54

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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.