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Finding the Fourth Proportional to 1,421.48, 1,961.70 and 831.90

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Solution

The fourth proportional to 1,421.48, 1,961.70 and 831.90 is: 1,148.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.48 : 1,961.70 = 831.90 : x
  2. Step 2: Convert to fraction form
    1,421.48/1,961.70 = 831.90/x
  3. Step 3: Cross multiply
    1,421.48x = 1,961.70 × 831.90
  4. Step 4: Simplify right side
    1,421.48x = 1,631,938.23
  5. Step 5: Solve for x
    x = 1,631,938.23/1,421.48
  6. Step 6: Final answer
    x = 1,148.06

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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.