Home / 1,831.40-2,748.16-777.14

Finding the Fourth Proportional to 1,831.40, 2,748.16 and 777.14

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Solution

The fourth proportional to 1,831.40, 2,748.16 and 777.14 is: 1,166.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831.40 : 2,748.16 = 777.14 : x
  2. Step 2: Convert to fraction form
    1,831.40/2,748.16 = 777.14/x
  3. Step 3: Cross multiply
    1,831.40x = 2,748.16 × 777.14
  4. Step 4: Simplify right side
    1,831.40x = 2,135,705.06
  5. Step 5: Solve for x
    x = 2,135,705.06/1,831.40
  6. Step 6: Final answer
    x = 1,166.16

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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.