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Finding the Fourth Proportional to 5,831.16, 8,047.08 and 3,178.61

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Solution

The fourth proportional to 5,831.16, 8,047.08 and 3,178.61 is: 4,386.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.16 : 8,047.08 = 3,178.61 : x
  2. Step 2: Convert to fraction form
    5,831.16/8,047.08 = 3,178.61/x
  3. Step 3: Cross multiply
    5,831.16x = 8,047.08 × 3,178.61
  4. Step 4: Simplify right side
    5,831.16x = 25,578,500.89
  5. Step 5: Solve for x
    x = 25,578,500.89/5,831.16
  6. Step 6: Final answer
    x = 4,386.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.