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Finding the Fourth Proportional to 11,141.76, 15,376.32 and 6,173.76

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Solution

The fourth proportional to 11,141.76, 15,376.32 and 6,173.76 is: 8,520.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,141.76 : 15,376.32 = 6,173.76 : x
  2. Step 2: Convert to fraction form
    11,141.76/15,376.32 = 6,173.76/x
  3. Step 3: Cross multiply
    11,141.76x = 15,376.32 × 6,173.76
  4. Step 4: Simplify right side
    11,141.76x = 94,929,709.36
  5. Step 5: Solve for x
    x = 94,929,709.36/11,141.76
  6. Step 6: Final answer
    x = 8,520.17

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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.