Home / 4,140-6,210.81-1,831.50

Finding the Fourth Proportional to 4,140, 6,210.81 and 1,831.50

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Solution

The fourth proportional to 4,140, 6,210.81 and 1,831.50 is: 2,747.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,140 : 6,210.81 = 1,831.50 : x
  2. Step 2: Convert to fraction form
    4,140/6,210.81 = 1,831.50/x
  3. Step 3: Cross multiply
    4,140x = 6,210.81 × 1,831.50
  4. Step 4: Simplify right side
    4,140x = 11,375,098.52
  5. Step 5: Solve for x
    x = 11,375,098.52/4,140
  6. Step 6: Final answer
    x = 2,747.61

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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.