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Finding the Fourth Proportional to 1,942.76, 2,914.35 and 710.28

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Solution

The fourth proportional to 1,942.76, 2,914.35 and 710.28 is: 1,065.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.76 : 2,914.35 = 710.28 : x
  2. Step 2: Convert to fraction form
    1,942.76/2,914.35 = 710.28/x
  3. Step 3: Cross multiply
    1,942.76x = 2,914.35 × 710.28
  4. Step 4: Simplify right side
    1,942.76x = 2,070,000.97
  5. Step 5: Solve for x
    x = 2,070,000.97/1,942.76
  6. Step 6: Final answer
    x = 1,065.49

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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.