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Finding the Fourth Proportional to 11,640, 16,064.82 and 7,457.16

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Solution

The fourth proportional to 11,640, 16,064.82 and 7,457.16 is: 10,291.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,640 : 16,064.82 = 7,457.16 : x
  2. Step 2: Convert to fraction form
    11,640/16,064.82 = 7,457.16/x
  3. Step 3: Cross multiply
    11,640x = 16,064.82 × 7,457.16
  4. Step 4: Simplify right side
    11,640x = 119,797,933.11
  5. Step 5: Solve for x
    x = 119,797,933.11/11,640
  6. Step 6: Final answer
    x = 10,291.92

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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.