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Finding the Fourth Proportional to 4,676, 7,015.02 and 1,389.32

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Solution

The fourth proportional to 4,676, 7,015.02 and 1,389.32 is: 2,084.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676 : 7,015.02 = 1,389.32 : x
  2. Step 2: Convert to fraction form
    4,676/7,015.02 = 1,389.32/x
  3. Step 3: Cross multiply
    4,676x = 7,015.02 × 1,389.32
  4. Step 4: Simplify right side
    4,676x = 9,746,107.59
  5. Step 5: Solve for x
    x = 9,746,107.59/4,676
  6. Step 6: Final answer
    x = 2,084.28

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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.