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Finding the Fourth Proportional to 11,405.76, 15,739.83 and 6,689.13

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Solution

The fourth proportional to 11,405.76, 15,739.83 and 6,689.13 is: 9,230.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,405.76 : 15,739.83 = 6,689.13 : x
  2. Step 2: Convert to fraction form
    11,405.76/15,739.83 = 6,689.13/x
  3. Step 3: Cross multiply
    11,405.76x = 15,739.83 × 6,689.13
  4. Step 4: Simplify right side
    11,405.76x = 105,285,769.05
  5. Step 5: Solve for x
    x = 105,285,769.05/11,405.76
  6. Step 6: Final answer
    x = 9,230.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.