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Finding the Fourth Proportional to 32,514, 48,771.12 and 7,890

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Solution

The fourth proportional to 32,514, 48,771.12 and 7,890 is: 11,835.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,514 : 48,771.12 = 7,890 : x
  2. Step 2: Convert to fraction form
    32,514/48,771.12 = 7,890/x
  3. Step 3: Cross multiply
    32,514x = 48,771.12 × 7,890
  4. Step 4: Simplify right side
    32,514x = 384,804,136.80
  5. Step 5: Solve for x
    x = 384,804,136.80/32,514
  6. Step 6: Final answer
    x = 11,835.03

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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.