Home / 7,831.27-11,746.93-2,284.75

Finding the Fourth Proportional to 7,831.27, 11,746.93 and 2,284.75

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Solution

The fourth proportional to 7,831.27, 11,746.93 and 2,284.75 is: 3,427.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831.27 : 11,746.93 = 2,284.75 : x
  2. Step 2: Convert to fraction form
    7,831.27/11,746.93 = 2,284.75/x
  3. Step 3: Cross multiply
    7,831.27x = 11,746.93 × 2,284.75
  4. Step 4: Simplify right side
    7,831.27x = 26,838,798.32
  5. Step 5: Solve for x
    x = 26,838,798.32/7,831.27
  6. Step 6: Final answer
    x = 3,427.13

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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.