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Finding the Fourth Proportional to 11,456, 15,806.88 and 6,740.80

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Solution

The fourth proportional to 11,456, 15,806.88 and 6,740.80 is: 9,300.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,456 : 15,806.88 = 6,740.80 : x
  2. Step 2: Convert to fraction form
    11,456/15,806.88 = 6,740.80/x
  3. Step 3: Cross multiply
    11,456x = 15,806.88 × 6,740.80
  4. Step 4: Simplify right side
    11,456x = 106,551,016.70
  5. Step 5: Solve for x
    x = 106,551,016.70/11,456
  6. Step 6: Final answer
    x = 9,300.89

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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.