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Finding the Fourth Proportional to 11,406.65, 17,115.65 and 6,405.92

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Solution

The fourth proportional to 11,406.65, 17,115.65 and 6,405.92 is: 9,612.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,406.65 : 17,115.65 = 6,405.92 : x
  2. Step 2: Convert to fraction form
    11,406.65/17,115.65 = 6,405.92/x
  3. Step 3: Cross multiply
    11,406.65x = 17,115.65 × 6,405.92
  4. Step 4: Simplify right side
    11,406.65x = 109,641,484.65
  5. Step 5: Solve for x
    x = 109,641,484.65/11,406.65
  6. Step 6: Final answer
    x = 9,612.07

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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.