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Finding the Fourth Proportional to 30,456.60, 45,782.10 and 21,751.80

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Solution

The fourth proportional to 30,456.60, 45,782.10 and 21,751.80 is: 32,697.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,456.60 : 45,782.10 = 21,751.80 : x
  2. Step 2: Convert to fraction form
    30,456.60/45,782.10 = 21,751.80/x
  3. Step 3: Cross multiply
    30,456.60x = 45,782.10 × 21,751.80
  4. Step 4: Simplify right side
    30,456.60x = 995,843,082.78
  5. Step 5: Solve for x
    x = 995,843,082.78/30,456.60
  6. Step 6: Final answer
    x = 32,697.12

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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.