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Finding the Fourth Proportional to 6,407.03, 9,609.74 and 1,727.40

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Solution

The fourth proportional to 6,407.03, 9,609.74 and 1,727.40 is: 2,590.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.03 : 9,609.74 = 1,727.40 : x
  2. Step 2: Convert to fraction form
    6,407.03/9,609.74 = 1,727.40/x
  3. Step 3: Cross multiply
    6,407.03x = 9,609.74 × 1,727.40
  4. Step 4: Simplify right side
    6,407.03x = 16,599,864.88
  5. Step 5: Solve for x
    x = 16,599,864.88/6,407.03
  6. Step 6: Final answer
    x = 2,590.88

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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.