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Finding the Fourth Proportional to 19,871.94, 29,807 and 5,831.40

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Solution

The fourth proportional to 19,871.94, 29,807 and 5,831.40 is: 8,746.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,871.94 : 29,807 = 5,831.40 : x
  2. Step 2: Convert to fraction form
    19,871.94/29,807 = 5,831.40/x
  3. Step 3: Cross multiply
    19,871.94x = 29,807 × 5,831.40
  4. Step 4: Simplify right side
    19,871.94x = 173,816,539.80
  5. Step 5: Solve for x
    x = 173,816,539.80/19,871.94
  6. Step 6: Final answer
    x = 8,746.83

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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.