Home / 2,043.26-3,064.80-947.24

Finding the Fourth Proportional to 2,043.26, 3,064.80 and 947.24

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Solution

The fourth proportional to 2,043.26, 3,064.80 and 947.24 is: 1,420.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.26 : 3,064.80 = 947.24 : x
  2. Step 2: Convert to fraction form
    2,043.26/3,064.80 = 947.24/x
  3. Step 3: Cross multiply
    2,043.26x = 3,064.80 × 947.24
  4. Step 4: Simplify right side
    2,043.26x = 2,903,101.15
  5. Step 5: Solve for x
    x = 2,903,101.15/2,043.26
  6. Step 6: Final answer
    x = 1,420.82

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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.