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Finding the Fourth Proportional to 10,806.56, 14,911.96 and 7,975.48

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Solution

The fourth proportional to 10,806.56, 14,911.96 and 7,975.48 is: 11,005.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.56 : 14,911.96 = 7,975.48 : x
  2. Step 2: Convert to fraction form
    10,806.56/14,911.96 = 7,975.48/x
  3. Step 3: Cross multiply
    10,806.56x = 14,911.96 × 7,975.48
  4. Step 4: Simplify right side
    10,806.56x = 118,930,038.74
  5. Step 5: Solve for x
    x = 118,930,038.74/10,806.56
  6. Step 6: Final answer
    x = 11,005.36

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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.