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Finding the Fourth Proportional to 31,871.40, 47,807.08 and 9,684.72

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Solution

The fourth proportional to 31,871.40, 47,807.08 and 9,684.72 is: 14,527.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,871.40 : 47,807.08 = 9,684.72 : x
  2. Step 2: Convert to fraction form
    31,871.40/47,807.08 = 9,684.72/x
  3. Step 3: Cross multiply
    31,871.40x = 47,807.08 × 9,684.72
  4. Step 4: Simplify right side
    31,871.40x = 462,998,183.82
  5. Step 5: Solve for x
    x = 462,998,183.82/31,871.40
  6. Step 6: Final answer
    x = 14,527.07

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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.