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Finding the Fourth Proportional to 2,101.07, 3,149.40 and 713.93

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Solution

The fourth proportional to 2,101.07, 3,149.40 and 713.93 is: 1,070.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.07 : 3,149.40 = 713.93 : x
  2. Step 2: Convert to fraction form
    2,101.07/3,149.40 = 713.93/x
  3. Step 3: Cross multiply
    2,101.07x = 3,149.40 × 713.93
  4. Step 4: Simplify right side
    2,101.07x = 2,248,451.14
  5. Step 5: Solve for x
    x = 2,248,451.14/2,101.07
  6. Step 6: Final answer
    x = 1,070.15

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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.