Home / 2,102.16-3,151.66-714.63

Finding the Fourth Proportional to 2,102.16, 3,151.66 and 714.63

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Solution

The fourth proportional to 2,102.16, 3,151.66 and 714.63 is: 1,071.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.16 : 3,151.66 = 714.63 : x
  2. Step 2: Convert to fraction form
    2,102.16/3,151.66 = 714.63/x
  3. Step 3: Cross multiply
    2,102.16x = 3,151.66 × 714.63
  4. Step 4: Simplify right side
    2,102.16x = 2,252,270.79
  5. Step 5: Solve for x
    x = 2,252,270.79/2,102.16
  6. Step 6: Final answer
    x = 1,071.41

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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.