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Finding the Fourth Proportional to 6,609.95, 9,899.65 and 3,971.64

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Solution

The fourth proportional to 6,609.95, 9,899.65 and 3,971.64 is: 5,948.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,609.95 : 9,899.65 = 3,971.64 : x
  2. Step 2: Convert to fraction form
    6,609.95/9,899.65 = 3,971.64/x
  3. Step 3: Cross multiply
    6,609.95x = 9,899.65 × 3,971.64
  4. Step 4: Simplify right side
    6,609.95x = 39,317,841.90
  5. Step 5: Solve for x
    x = 39,317,841.90/6,609.95
  6. Step 6: Final answer
    x = 5,948.28

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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.