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Finding the Fourth Proportional to 11,506.08, 17,259.20 and 3,715.20

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Solution

The fourth proportional to 11,506.08, 17,259.20 and 3,715.20 is: 5,572.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,506.08 : 17,259.20 = 3,715.20 : x
  2. Step 2: Convert to fraction form
    11,506.08/17,259.20 = 3,715.20/x
  3. Step 3: Cross multiply
    11,506.08x = 17,259.20 × 3,715.20
  4. Step 4: Simplify right side
    11,506.08x = 64,121,379.84
  5. Step 5: Solve for x
    x = 64,121,379.84/11,506.08
  6. Step 6: Final answer
    x = 5,572.83

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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.