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Finding the Fourth Proportional to 1,885.27, 2,827.34 and 714.41

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Solution

The fourth proportional to 1,885.27, 2,827.34 and 714.41 is: 1,071.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.27 : 2,827.34 = 714.41 : x
  2. Step 2: Convert to fraction form
    1,885.27/2,827.34 = 714.41/x
  3. Step 3: Cross multiply
    1,885.27x = 2,827.34 × 714.41
  4. Step 4: Simplify right side
    1,885.27x = 2,019,879.97
  5. Step 5: Solve for x
    x = 2,019,879.97/1,885.27
  6. Step 6: Final answer
    x = 1,071.40

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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.