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Finding the Fourth Proportional to 31,890.86, 47,805.06 and 11,885.71

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Solution

The fourth proportional to 31,890.86, 47,805.06 and 11,885.71 is: 17,816.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,890.86 : 47,805.06 = 11,885.71 : x
  2. Step 2: Convert to fraction form
    31,890.86/47,805.06 = 11,885.71/x
  3. Step 3: Cross multiply
    31,890.86x = 47,805.06 × 11,885.71
  4. Step 4: Simplify right side
    31,890.86x = 568,196,840.67
  5. Step 5: Solve for x
    x = 568,196,840.67/31,890.86
  6. Step 6: Final answer
    x = 17,816.92

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1.5x scale

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.