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Finding the Fourth Proportional to 10,806.19, 14,912.54 and 5,838.19

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Solution

The fourth proportional to 10,806.19, 14,912.54 and 5,838.19 is: 8,056.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.19 : 14,912.54 = 5,838.19 : x
  2. Step 2: Convert to fraction form
    10,806.19/14,912.54 = 5,838.19/x
  3. Step 3: Cross multiply
    10,806.19x = 14,912.54 × 5,838.19
  4. Step 4: Simplify right side
    10,806.19x = 87,062,197.32
  5. Step 5: Solve for x
    x = 87,062,197.32/10,806.19
  6. Step 6: Final answer
    x = 8,056.70

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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.