Home / 6,409.12-9,613.68-1,792

Finding the Fourth Proportional to 6,409.12, 9,613.68 and 1,792

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Solution

The fourth proportional to 6,409.12, 9,613.68 and 1,792 is: 2,688.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.12 : 9,613.68 = 1,792 : x
  2. Step 2: Convert to fraction form
    6,409.12/9,613.68 = 1,792/x
  3. Step 3: Cross multiply
    6,409.12x = 9,613.68 × 1,792
  4. Step 4: Simplify right side
    6,409.12x = 17,227,714.56
  5. Step 5: Solve for x
    x = 17,227,714.56/6,409.12
  6. Step 6: Final answer
    x = 2,688.00

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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.