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Finding the Fourth Proportional to 6,409.16, 9,613.06 and 1,728.88

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Solution

The fourth proportional to 6,409.16, 9,613.06 and 1,728.88 is: 2,593.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.16 : 9,613.06 = 1,728.88 : x
  2. Step 2: Convert to fraction form
    6,409.16/9,613.06 = 1,728.88/x
  3. Step 3: Cross multiply
    6,409.16x = 9,613.06 × 1,728.88
  4. Step 4: Simplify right side
    6,409.16x = 16,619,808.54
  5. Step 5: Solve for x
    x = 16,619,808.54/6,409.16
  6. Step 6: Final answer
    x = 2,593.13

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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.