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Finding the Fourth Proportional to 2,042.76, 3,064.36 and 947

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Solution

The fourth proportional to 2,042.76, 3,064.36 and 947 is: 1,420.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.76 : 3,064.36 = 947 : x
  2. Step 2: Convert to fraction form
    2,042.76/3,064.36 = 947/x
  3. Step 3: Cross multiply
    2,042.76x = 3,064.36 × 947
  4. Step 4: Simplify right side
    2,042.76x = 2,901,948.92
  5. Step 5: Solve for x
    x = 2,901,948.92/2,042.76
  6. Step 6: Final answer
    x = 1,420.60

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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.