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Finding the Fourth Proportional to 13,586, 18,780.08 and 11,334.76

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Solution

The fourth proportional to 13,586, 18,780.08 and 11,334.76 is: 15,668.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,586 : 18,780.08 = 11,334.76 : x
  2. Step 2: Convert to fraction form
    13,586/18,780.08 = 11,334.76/x
  3. Step 3: Cross multiply
    13,586x = 18,780.08 × 11,334.76
  4. Step 4: Simplify right side
    13,586x = 212,867,699.58
  5. Step 5: Solve for x
    x = 212,867,699.58/13,586
  6. Step 6: Final answer
    x = 15,668.17

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1.5x scale

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.