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Finding the Fourth Proportional to 1,946.34, 2,920.50 and 1,125.36

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Solution

The fourth proportional to 1,946.34, 2,920.50 and 1,125.36 is: 1,688.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.34 : 2,920.50 = 1,125.36 : x
  2. Step 2: Convert to fraction form
    1,946.34/2,920.50 = 1,125.36/x
  3. Step 3: Cross multiply
    1,946.34x = 2,920.50 × 1,125.36
  4. Step 4: Simplify right side
    1,946.34x = 3,286,613.88
  5. Step 5: Solve for x
    x = 3,286,613.88/1,946.34
  6. Step 6: Final answer
    x = 1,688.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.