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Finding the Fourth Proportional to 6,407.70, 9,609.75 and 3,120.90

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Solution

The fourth proportional to 6,407.70, 9,609.75 and 3,120.90 is: 4,680.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.70 : 9,609.75 = 3,120.90 : x
  2. Step 2: Convert to fraction form
    6,407.70/9,609.75 = 3,120.90/x
  3. Step 3: Cross multiply
    6,407.70x = 9,609.75 × 3,120.90
  4. Step 4: Simplify right side
    6,407.70x = 29,991,068.78
  5. Step 5: Solve for x
    x = 29,991,068.78/6,407.70
  6. Step 6: Final answer
    x = 4,680.47

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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.