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Finding the Fourth Proportional to 2,173.79, 3,260.93 and 712.42

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Solution

The fourth proportional to 2,173.79, 3,260.93 and 712.42 is: 1,068.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.79 : 3,260.93 = 712.42 : x
  2. Step 2: Convert to fraction form
    2,173.79/3,260.93 = 712.42/x
  3. Step 3: Cross multiply
    2,173.79x = 3,260.93 × 712.42
  4. Step 4: Simplify right side
    2,173.79x = 2,323,140.04
  5. Step 5: Solve for x
    x = 2,323,140.04/2,173.79
  6. Step 6: Final answer
    x = 1,068.70

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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.