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Finding the Fourth Proportional to 5,831.31, 8,047.31 and 3,178.77

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Solution

The fourth proportional to 5,831.31, 8,047.31 and 3,178.77 is: 4,386.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.31 : 8,047.31 = 3,178.77 : x
  2. Step 2: Convert to fraction form
    5,831.31/8,047.31 = 3,178.77/x
  3. Step 3: Cross multiply
    5,831.31x = 8,047.31 × 3,178.77
  4. Step 4: Simplify right side
    5,831.31x = 25,580,547.61
  5. Step 5: Solve for x
    x = 25,580,547.61/5,831.31
  6. Step 6: Final answer
    x = 4,386.76

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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.