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Finding the Fourth Proportional to 31,386.08, 47,078.48 and 8,012

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Solution

The fourth proportional to 31,386.08, 47,078.48 and 8,012 is: 12,017.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,386.08 : 47,078.48 = 8,012 : x
  2. Step 2: Convert to fraction form
    31,386.08/47,078.48 = 8,012/x
  3. Step 3: Cross multiply
    31,386.08x = 47,078.48 × 8,012
  4. Step 4: Simplify right side
    31,386.08x = 377,192,781.76
  5. Step 5: Solve for x
    x = 377,192,781.76/31,386.08
  6. Step 6: Final answer
    x = 12,017.84

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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.