Home / 2,043.20-3,064.64-947.28

Finding the Fourth Proportional to 2,043.20, 3,064.64 and 947.28

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Solution

The fourth proportional to 2,043.20, 3,064.64 and 947.28 is: 1,420.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.20 : 3,064.64 = 947.28 : x
  2. Step 2: Convert to fraction form
    2,043.20/3,064.64 = 947.28/x
  3. Step 3: Cross multiply
    2,043.20x = 3,064.64 × 947.28
  4. Step 4: Simplify right side
    2,043.20x = 2,903,072.18
  5. Step 5: Solve for x
    x = 2,903,072.18/2,043.20
  6. Step 6: Final answer
    x = 1,420.85

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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.