Home / 2,702.11-4,053.26-946.76

Finding the Fourth Proportional to 2,702.11, 4,053.26 and 946.76

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Solution

The fourth proportional to 2,702.11, 4,053.26 and 946.76 is: 1,420.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.11 : 4,053.26 = 946.76 : x
  2. Step 2: Convert to fraction form
    2,702.11/4,053.26 = 946.76/x
  3. Step 3: Cross multiply
    2,702.11x = 4,053.26 × 946.76
  4. Step 4: Simplify right side
    2,702.11x = 3,837,464.44
  5. Step 5: Solve for x
    x = 3,837,464.44/2,702.11
  6. Step 6: Final answer
    x = 1,420.17

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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.