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Finding the Fourth Proportional to 7,012.67, 9,677.49 and 4,028.30

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Solution

The fourth proportional to 7,012.67, 9,677.49 and 4,028.30 is: 5,559.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,012.67 : 9,677.49 = 4,028.30 : x
  2. Step 2: Convert to fraction form
    7,012.67/9,677.49 = 4,028.30/x
  3. Step 3: Cross multiply
    7,012.67x = 9,677.49 × 4,028.30
  4. Step 4: Simplify right side
    7,012.67x = 38,983,832.97
  5. Step 5: Solve for x
    x = 38,983,832.97/7,012.67
  6. Step 6: Final answer
    x = 5,559.06

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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.