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Finding the Fourth Proportional to 3,582.72, 5,373.12 and 985.80

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Solution

The fourth proportional to 3,582.72, 5,373.12 and 985.80 is: 1,478.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,582.72 : 5,373.12 = 985.80 : x
  2. Step 2: Convert to fraction form
    3,582.72/5,373.12 = 985.80/x
  3. Step 3: Cross multiply
    3,582.72x = 5,373.12 × 985.80
  4. Step 4: Simplify right side
    3,582.72x = 5,296,821.70
  5. Step 5: Solve for x
    x = 5,296,821.70/3,582.72
  6. Step 6: Final answer
    x = 1,478.44

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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.