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Finding the Fourth Proportional to 12,151.81, 16,771.62 and 7,674.13

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Solution

The fourth proportional to 12,151.81, 16,771.62 and 7,674.13 is: 10,591.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,151.81 : 16,771.62 = 7,674.13 : x
  2. Step 2: Convert to fraction form
    12,151.81/16,771.62 = 7,674.13/x
  3. Step 3: Cross multiply
    12,151.81x = 16,771.62 × 7,674.13
  4. Step 4: Simplify right side
    12,151.81x = 128,707,592.19
  5. Step 5: Solve for x
    x = 128,707,592.19/12,151.81
  6. Step 6: Final answer
    x = 10,591.64

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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.