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Finding the Fourth Proportional to 9,151.86, 13,727.80 and 4,777.86

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Solution

The fourth proportional to 9,151.86, 13,727.80 and 4,777.86 is: 7,166.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,151.86 : 13,727.80 = 4,777.86 : x
  2. Step 2: Convert to fraction form
    9,151.86/13,727.80 = 4,777.86/x
  3. Step 3: Cross multiply
    9,151.86x = 13,727.80 × 4,777.86
  4. Step 4: Simplify right side
    9,151.86x = 65,589,506.51
  5. Step 5: Solve for x
    x = 65,589,506.51/9,151.86
  6. Step 6: Final answer
    x = 7,166.80

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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.