Home / 27,831.84-41,740.32-7,840.14

Finding the Fourth Proportional to 27,831.84, 41,740.32 and 7,840.14

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Solution

The fourth proportional to 27,831.84, 41,740.32 and 7,840.14 is: 11,758.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,831.84 : 41,740.32 = 7,840.14 : x
  2. Step 2: Convert to fraction form
    27,831.84/41,740.32 = 7,840.14/x
  3. Step 3: Cross multiply
    27,831.84x = 41,740.32 × 7,840.14
  4. Step 4: Simplify right side
    27,831.84x = 327,249,952.44
  5. Step 5: Solve for x
    x = 327,249,952.44/27,831.84
  6. Step 6: Final answer
    x = 11,758.11

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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.