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Finding the Fourth Proportional to 10,806.40, 14,912.40 and 6,091.66

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Solution

The fourth proportional to 10,806.40, 14,912.40 and 6,091.66 is: 8,406.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.40 : 14,912.40 = 6,091.66 : x
  2. Step 2: Convert to fraction form
    10,806.40/14,912.40 = 6,091.66/x
  3. Step 3: Cross multiply
    10,806.40x = 14,912.40 × 6,091.66
  4. Step 4: Simplify right side
    10,806.40x = 90,841,270.58
  5. Step 5: Solve for x
    x = 90,841,270.58/10,806.40
  6. Step 6: Final answer
    x = 8,406.25

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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.