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Finding the Fourth Proportional to 2,042.46, 3,064.20 and 947.60

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Solution

The fourth proportional to 2,042.46, 3,064.20 and 947.60 is: 1,421.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.46 : 3,064.20 = 947.60 : x
  2. Step 2: Convert to fraction form
    2,042.46/3,064.20 = 947.60/x
  3. Step 3: Cross multiply
    2,042.46x = 3,064.20 × 947.60
  4. Step 4: Simplify right side
    2,042.46x = 2,903,635.92
  5. Step 5: Solve for x
    x = 2,903,635.92/2,042.46
  6. Step 6: Final answer
    x = 1,421.64

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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.