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Finding the Fourth Proportional to 1,693.16, 2,334.70 and 1,243

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Solution

The fourth proportional to 1,693.16, 2,334.70 and 1,243 is: 1,713.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.16 : 2,334.70 = 1,243 : x
  2. Step 2: Convert to fraction form
    1,693.16/2,334.70 = 1,243/x
  3. Step 3: Cross multiply
    1,693.16x = 2,334.70 × 1,243
  4. Step 4: Simplify right side
    1,693.16x = 2,902,032.10
  5. Step 5: Solve for x
    x = 2,902,032.10/1,693.16
  6. Step 6: Final answer
    x = 1,713.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.