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Finding the Fourth Proportional to 9,771.96, 14,645.61 and 5,329.56

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Solution

The fourth proportional to 9,771.96, 14,645.61 and 5,329.56 is: 7,987.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.96 : 14,645.61 = 5,329.56 : x
  2. Step 2: Convert to fraction form
    9,771.96/14,645.61 = 5,329.56/x
  3. Step 3: Cross multiply
    9,771.96x = 14,645.61 × 5,329.56
  4. Step 4: Simplify right side
    9,771.96x = 78,054,657.23
  5. Step 5: Solve for x
    x = 78,054,657.23/9,771.96
  6. Step 6: Final answer
    x = 7,987.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.