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Finding the Fourth Proportional to 11,506, 17,255.76 and 3,713.80

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Solution

The fourth proportional to 11,506, 17,255.76 and 3,713.80 is: 5,569.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,506 : 17,255.76 = 3,713.80 : x
  2. Step 2: Convert to fraction form
    11,506/17,255.76 = 3,713.80/x
  3. Step 3: Cross multiply
    11,506x = 17,255.76 × 3,713.80
  4. Step 4: Simplify right side
    11,506x = 64,084,441.49
  5. Step 5: Solve for x
    x = 64,084,441.49/11,506
  6. Step 6: Final answer
    x = 5,569.65

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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.