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Finding the Fourth Proportional to 11,593.76, 17,390.56 and 8,146.40

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Solution

The fourth proportional to 11,593.76, 17,390.56 and 8,146.40 is: 12,219.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,593.76 : 17,390.56 = 8,146.40 : x
  2. Step 2: Convert to fraction form
    11,593.76/17,390.56 = 8,146.40/x
  3. Step 3: Cross multiply
    11,593.76x = 17,390.56 × 8,146.40
  4. Step 4: Simplify right side
    11,593.76x = 141,670,457.98
  5. Step 5: Solve for x
    x = 141,670,457.98/11,593.76
  6. Step 6: Final answer
    x = 12,219.54

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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.