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Finding the Fourth Proportional to 11,672.40, 17,510.76 and 3,777

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Solution

The fourth proportional to 11,672.40, 17,510.76 and 3,777 is: 5,666.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,672.40 : 17,510.76 = 3,777 : x
  2. Step 2: Convert to fraction form
    11,672.40/17,510.76 = 3,777/x
  3. Step 3: Cross multiply
    11,672.40x = 17,510.76 × 3,777
  4. Step 4: Simplify right side
    11,672.40x = 66,138,140.52
  5. Step 5: Solve for x
    x = 66,138,140.52/11,672.40
  6. Step 6: Final answer
    x = 5,666.20

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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.