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Finding the Fourth Proportional to 2,093.57, 3,140.66 and 707.31

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Solution

The fourth proportional to 2,093.57, 3,140.66 and 707.31 is: 1,061.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.57 : 3,140.66 = 707.31 : x
  2. Step 2: Convert to fraction form
    2,093.57/3,140.66 = 707.31/x
  3. Step 3: Cross multiply
    2,093.57x = 3,140.66 × 707.31
  4. Step 4: Simplify right side
    2,093.57x = 2,221,416.69
  5. Step 5: Solve for x
    x = 2,221,416.69/2,093.57
  6. Step 6: Final answer
    x = 1,061.07

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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.