Home / 2,101.23-3,151.94-714.51

Finding the Fourth Proportional to 2,101.23, 3,151.94 and 714.51

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Solution

The fourth proportional to 2,101.23, 3,151.94 and 714.51 is: 1,071.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.23 : 3,151.94 = 714.51 : x
  2. Step 2: Convert to fraction form
    2,101.23/3,151.94 = 714.51/x
  3. Step 3: Cross multiply
    2,101.23x = 3,151.94 × 714.51
  4. Step 4: Simplify right side
    2,101.23x = 2,252,089.08
  5. Step 5: Solve for x
    x = 2,252,089.08/2,101.23
  6. Step 6: Final answer
    x = 1,071.80

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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.