Home / 1,416.13-2,124.56-831.62

Finding the Fourth Proportional to 1,416.13, 2,124.56 and 831.62

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Solution

The fourth proportional to 1,416.13, 2,124.56 and 831.62 is: 1,247.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.13 : 2,124.56 = 831.62 : x
  2. Step 2: Convert to fraction form
    1,416.13/2,124.56 = 831.62/x
  3. Step 3: Cross multiply
    1,416.13x = 2,124.56 × 831.62
  4. Step 4: Simplify right side
    1,416.13x = 1,766,822.03
  5. Step 5: Solve for x
    x = 1,766,822.03/1,416.13
  6. Step 6: Final answer
    x = 1,247.64

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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.