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Finding the Fourth Proportional to 10,707.68, 14,780.70 and 7,169.60

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Solution

The fourth proportional to 10,707.68, 14,780.70 and 7,169.60 is: 9,896.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707.68 : 14,780.70 = 7,169.60 : x
  2. Step 2: Convert to fraction form
    10,707.68/14,780.70 = 7,169.60/x
  3. Step 3: Cross multiply
    10,707.68x = 14,780.70 × 7,169.60
  4. Step 4: Simplify right side
    10,707.68x = 105,971,706.72
  5. Step 5: Solve for x
    x = 105,971,706.72/10,707.68
  6. Step 6: Final answer
    x = 9,896.79

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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.