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Finding the Fourth Proportional to 4,674.50, 7,012.76 and 1,387.82

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Solution

The fourth proportional to 4,674.50, 7,012.76 and 1,387.82 is: 2,082.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674.50 : 7,012.76 = 1,387.82 : x
  2. Step 2: Convert to fraction form
    4,674.50/7,012.76 = 1,387.82/x
  3. Step 3: Cross multiply
    4,674.50x = 7,012.76 × 1,387.82
  4. Step 4: Simplify right side
    4,674.50x = 9,732,448.58
  5. Step 5: Solve for x
    x = 9,732,448.58/4,674.50
  6. Step 6: Final answer
    x = 2,082.03

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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.