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Finding the Fourth Proportional to 11,777.59, 17,666.13 and 3,457.42

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Solution

The fourth proportional to 11,777.59, 17,666.13 and 3,457.42 is: 5,186.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.59 : 17,666.13 = 3,457.42 : x
  2. Step 2: Convert to fraction form
    11,777.59/17,666.13 = 3,457.42/x
  3. Step 3: Cross multiply
    11,777.59x = 17,666.13 × 3,457.42
  4. Step 4: Simplify right side
    11,777.59x = 61,079,125.57
  5. Step 5: Solve for x
    x = 61,079,125.57/11,777.59
  6. Step 6: Final answer
    x = 5,186.05

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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.