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Finding the Fourth Proportional to 11,005.65, 16,508.47 and 3,895.16

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Solution

The fourth proportional to 11,005.65, 16,508.47 and 3,895.16 is: 5,842.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,005.65 : 16,508.47 = 3,895.16 : x
  2. Step 2: Convert to fraction form
    11,005.65/16,508.47 = 3,895.16/x
  3. Step 3: Cross multiply
    11,005.65x = 16,508.47 × 3,895.16
  4. Step 4: Simplify right side
    11,005.65x = 64,303,132.01
  5. Step 5: Solve for x
    x = 64,303,132.01/11,005.65
  6. Step 6: Final answer
    x = 5,842.74

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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.