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Finding the Fourth Proportional to 11,380.40, 15,706.40 and 6,663.76

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Solution

The fourth proportional to 11,380.40, 15,706.40 and 6,663.76 is: 9,196.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,380.40 : 15,706.40 = 6,663.76 : x
  2. Step 2: Convert to fraction form
    11,380.40/15,706.40 = 6,663.76/x
  3. Step 3: Cross multiply
    11,380.40x = 15,706.40 × 6,663.76
  4. Step 4: Simplify right side
    11,380.40x = 104,663,680.06
  5. Step 5: Solve for x
    x = 104,663,680.06/11,380.40
  6. Step 6: Final answer
    x = 9,196.84

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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.