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Finding the Fourth Proportional to 1,293.14, 1,938.54 and 831.26

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Solution

The fourth proportional to 1,293.14, 1,938.54 and 831.26 is: 1,246.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.14 : 1,938.54 = 831.26 : x
  2. Step 2: Convert to fraction form
    1,293.14/1,938.54 = 831.26/x
  3. Step 3: Cross multiply
    1,293.14x = 1,938.54 × 831.26
  4. Step 4: Simplify right side
    1,293.14x = 1,611,430.76
  5. Step 5: Solve for x
    x = 1,611,430.76/1,293.14
  6. Step 6: Final answer
    x = 1,246.14

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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.