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Finding the Fourth Proportional to 1,946.15, 2,919.98 and 714.41

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Solution

The fourth proportional to 1,946.15, 2,919.98 and 714.41 is: 1,071.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.15 : 2,919.98 = 714.41 : x
  2. Step 2: Convert to fraction form
    1,946.15/2,919.98 = 714.41/x
  3. Step 3: Cross multiply
    1,946.15x = 2,919.98 × 714.41
  4. Step 4: Simplify right side
    1,946.15x = 2,086,062.91
  5. Step 5: Solve for x
    x = 2,086,062.91/1,946.15
  6. Step 6: Final answer
    x = 1,071.89

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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.